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Finding the Fourth Proportional to 1,323.93, 1,985.90 and 447.42

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Solution

The fourth proportional to 1,323.93, 1,985.90 and 447.42 is: 671.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.93 : 1,985.90 = 447.42 : x
  2. Step 2: Convert to fraction form
    1,323.93/1,985.90 = 447.42/x
  3. Step 3: Cross multiply
    1,323.93x = 1,985.90 × 447.42
  4. Step 4: Simplify right side
    1,323.93x = 888,532.50
  5. Step 5: Solve for x
    x = 888,532.50/1,323.93
  6. Step 6: Final answer
    x = 671.13

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Half scale
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Double scale
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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.