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Finding the Fourth Proportional to 478.80, 714.30 and 472.65

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Solution

The fourth proportional to 478.80, 714.30 and 472.65 is: 705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.80 : 714.30 = 472.65 : x
  2. Step 2: Convert to fraction form
    478.80/714.30 = 472.65/x
  3. Step 3: Cross multiply
    478.80x = 714.30 × 472.65
  4. Step 4: Simplify right side
    478.80x = 337,613.90
  5. Step 5: Solve for x
    x = 337,613.90/478.80
  6. Step 6: Final answer
    x = 705.13

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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.