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Finding the Fourth Proportional to 479.76, 714.32 and 472.80

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Solution

The fourth proportional to 479.76, 714.32 and 472.80 is: 703.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.76 : 714.32 = 472.80 : x
  2. Step 2: Convert to fraction form
    479.76/714.32 = 472.80/x
  3. Step 3: Cross multiply
    479.76x = 714.32 × 472.80
  4. Step 4: Simplify right side
    479.76x = 337,730.50
  5. Step 5: Solve for x
    x = 337,730.50/479.76
  6. Step 6: Final answer
    x = 703.96

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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.