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Finding the Fourth Proportional to 631.67, 945.77 and 477.13

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Solution

The fourth proportional to 631.67, 945.77 and 477.13 is: 714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.67 : 945.77 = 477.13 : x
  2. Step 2: Convert to fraction form
    631.67/945.77 = 477.13/x
  3. Step 3: Cross multiply
    631.67x = 945.77 × 477.13
  4. Step 4: Simplify right side
    631.67x = 451,255.24
  5. Step 5: Solve for x
    x = 451,255.24/631.67
  6. Step 6: Final answer
    x = 714.38

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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.