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Finding the Fourth Proportional to 476.76, 713.78 and 431.20

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Solution

The fourth proportional to 476.76, 713.78 and 431.20 is: 645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.76 : 713.78 = 431.20 : x
  2. Step 2: Convert to fraction form
    476.76/713.78 = 431.20/x
  3. Step 3: Cross multiply
    476.76x = 713.78 × 431.20
  4. Step 4: Simplify right side
    476.76x = 307,781.94
  5. Step 5: Solve for x
    x = 307,781.94/476.76
  6. Step 6: Final answer
    x = 645.57

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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.