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Finding the Fourth Proportional to 478.86, 714.36 and 402.32

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Solution

The fourth proportional to 478.86, 714.36 and 402.32 is: 600.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.86 : 714.36 = 402.32 : x
  2. Step 2: Convert to fraction form
    478.86/714.36 = 402.32/x
  3. Step 3: Cross multiply
    478.86x = 714.36 × 402.32
  4. Step 4: Simplify right side
    478.86x = 287,397.74
  5. Step 5: Solve for x
    x = 287,397.74/478.86
  6. Step 6: Final answer
    x = 600.17

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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.