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Finding the Fourth Proportional to 630.86, 869.73 and 471.20

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Solution

The fourth proportional to 630.86, 869.73 and 471.20 is: 649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.86 : 869.73 = 471.20 : x
  2. Step 2: Convert to fraction form
    630.86/869.73 = 471.20/x
  3. Step 3: Cross multiply
    630.86x = 869.73 × 471.20
  4. Step 4: Simplify right side
    630.86x = 409,816.78
  5. Step 5: Solve for x
    x = 409,816.78/630.86
  6. Step 6: Final answer
    x = 649.62

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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.