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Finding the Fourth Proportional to 1,326.89, 1,989.97 and 461.09

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Solution

The fourth proportional to 1,326.89, 1,989.97 and 461.09 is: 691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.89 : 1,989.97 = 461.09 : x
  2. Step 2: Convert to fraction form
    1,326.89/1,989.97 = 461.09/x
  3. Step 3: Cross multiply
    1,326.89x = 1,989.97 × 461.09
  4. Step 4: Simplify right side
    1,326.89x = 917,544.16
  5. Step 5: Solve for x
    x = 917,544.16/1,326.89
  6. Step 6: Final answer
    x = 691.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,327.89, 1,991.47 and 462.09
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.