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Finding the Fourth Proportional to 515.88, 769.35 and 458.04

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Solution

The fourth proportional to 515.88, 769.35 and 458.04 is: 683.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.88 : 769.35 = 458.04 : x
  2. Step 2: Convert to fraction form
    515.88/769.35 = 458.04/x
  3. Step 3: Cross multiply
    515.88x = 769.35 × 458.04
  4. Step 4: Simplify right side
    515.88x = 352,393.07
  5. Step 5: Solve for x
    x = 352,393.07/515.88
  6. Step 6: Final answer
    x = 683.09

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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.