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Finding the Fourth Proportional to 488.23, 730.55 and 461.85

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Solution

The fourth proportional to 488.23, 730.55 and 461.85 is: 691.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.23 : 730.55 = 461.85 : x
  2. Step 2: Convert to fraction form
    488.23/730.55 = 461.85/x
  3. Step 3: Cross multiply
    488.23x = 730.55 × 461.85
  4. Step 4: Simplify right side
    488.23x = 337,404.52
  5. Step 5: Solve for x
    x = 337,404.52/488.23
  6. Step 6: Final answer
    x = 691.08

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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.