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Finding the Fourth Proportional to 478.32, 714.38 and 475.22

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Solution

The fourth proportional to 478.32, 714.38 and 475.22 is: 709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.32 : 714.38 = 475.22 : x
  2. Step 2: Convert to fraction form
    478.32/714.38 = 475.22/x
  3. Step 3: Cross multiply
    478.32x = 714.38 × 475.22
  4. Step 4: Simplify right side
    478.32x = 339,487.66
  5. Step 5: Solve for x
    x = 339,487.66/478.32
  6. Step 6: Final answer
    x = 709.75

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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.