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Finding the Fourth Proportional to 488.34, 728.96 and 478.62

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Solution

The fourth proportional to 488.34, 728.96 and 478.62 is: 714.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.34 : 728.96 = 478.62 : x
  2. Step 2: Convert to fraction form
    488.34/728.96 = 478.62/x
  3. Step 3: Cross multiply
    488.34x = 728.96 × 478.62
  4. Step 4: Simplify right side
    488.34x = 348,892.44
  5. Step 5: Solve for x
    x = 348,892.44/488.34
  6. Step 6: Final answer
    x = 714.45

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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.