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Finding the Fourth Proportional to 488.73, 728.87 and 464.57

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Solution

The fourth proportional to 488.73, 728.87 and 464.57 is: 692.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.73 : 728.87 = 464.57 : x
  2. Step 2: Convert to fraction form
    488.73/728.87 = 464.57/x
  3. Step 3: Cross multiply
    488.73x = 728.87 × 464.57
  4. Step 4: Simplify right side
    488.73x = 338,607.90
  5. Step 5: Solve for x
    x = 338,607.90/488.73
  6. Step 6: Final answer
    x = 692.83

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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.