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Finding the Fourth Proportional to 948.03, 1,422.45 and 461.09

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Solution

The fourth proportional to 948.03, 1,422.45 and 461.09 is: 691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.03 : 1,422.45 = 461.09 : x
  2. Step 2: Convert to fraction form
    948.03/1,422.45 = 461.09/x
  3. Step 3: Cross multiply
    948.03x = 1,422.45 × 461.09
  4. Step 4: Simplify right side
    948.03x = 655,870.36
  5. Step 5: Solve for x
    x = 655,870.36/948.03
  6. Step 6: Final answer
    x = 691.82

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Double scale
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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.