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Finding the Fourth Proportional to 479.28, 714.01 and 461.86

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Solution

The fourth proportional to 479.28, 714.01 and 461.86 is: 688.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.28 : 714.01 = 461.86 : x
  2. Step 2: Convert to fraction form
    479.28/714.01 = 461.86/x
  3. Step 3: Cross multiply
    479.28x = 714.01 × 461.86
  4. Step 4: Simplify right side
    479.28x = 329,772.66
  5. Step 5: Solve for x
    x = 329,772.66/479.28
  6. Step 6: Final answer
    x = 688.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.