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Finding the Fourth Proportional to 488.62, 731.65 and 407.20

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Solution

The fourth proportional to 488.62, 731.65 and 407.20 is: 609.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.62 : 731.65 = 407.20 : x
  2. Step 2: Convert to fraction form
    488.62/731.65 = 407.20/x
  3. Step 3: Cross multiply
    488.62x = 731.65 × 407.20
  4. Step 4: Simplify right side
    488.62x = 297,927.88
  5. Step 5: Solve for x
    x = 297,927.88/488.62
  6. Step 6: Final answer
    x = 609.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.