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Finding the Fourth Proportional to 488.14, 728.50 and 468.29

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Solution

The fourth proportional to 488.14, 728.50 and 468.29 is: 698.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.14 : 728.50 = 468.29 : x
  2. Step 2: Convert to fraction form
    488.14/728.50 = 468.29/x
  3. Step 3: Cross multiply
    488.14x = 728.50 × 468.29
  4. Step 4: Simplify right side
    488.14x = 341,149.27
  5. Step 5: Solve for x
    x = 341,149.27/488.14
  6. Step 6: Final answer
    x = 698.88

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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.