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Finding the Fourth Proportional to 478.98, 714.56 and 456.30

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Solution

The fourth proportional to 478.98, 714.56 and 456.30 is: 680.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.98 : 714.56 = 456.30 : x
  2. Step 2: Convert to fraction form
    478.98/714.56 = 456.30/x
  3. Step 3: Cross multiply
    478.98x = 714.56 × 456.30
  4. Step 4: Simplify right side
    478.98x = 326,053.73
  5. Step 5: Solve for x
    x = 326,053.73/478.98
  6. Step 6: Final answer
    x = 680.73

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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.