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Finding the Fourth Proportional to 488.49, 730.99 and 391.61

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Solution

The fourth proportional to 488.49, 730.99 and 391.61 is: 586.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.49 : 730.99 = 391.61 : x
  2. Step 2: Convert to fraction form
    488.49/730.99 = 391.61/x
  3. Step 3: Cross multiply
    488.49x = 730.99 × 391.61
  4. Step 4: Simplify right side
    488.49x = 286,257.38
  5. Step 5: Solve for x
    x = 286,257.38/488.49
  6. Step 6: Final answer
    x = 586.01

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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.