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Finding the Fourth Proportional to 869.71, 1,200.21 and 476.75

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Solution

The fourth proportional to 869.71, 1,200.21 and 476.75 is: 657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.71 : 1,200.21 = 476.75 : x
  2. Step 2: Convert to fraction form
    869.71/1,200.21 = 476.75/x
  3. Step 3: Cross multiply
    869.71x = 1,200.21 × 476.75
  4. Step 4: Simplify right side
    869.71x = 572,200.12
  5. Step 5: Solve for x
    x = 572,200.12/869.71
  6. Step 6: Final answer
    x = 657.92

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.