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Finding the Fourth Proportional to 515.90, 769.58 and 458.82

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Solution

The fourth proportional to 515.90, 769.58 and 458.82 is: 684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.90 : 769.58 = 458.82 : x
  2. Step 2: Convert to fraction form
    515.90/769.58 = 458.82/x
  3. Step 3: Cross multiply
    515.90x = 769.58 × 458.82
  4. Step 4: Simplify right side
    515.90x = 353,098.70
  5. Step 5: Solve for x
    x = 353,098.70/515.90
  6. Step 6: Final answer
    x = 684.43

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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.