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Finding the Fourth Proportional to 510.92, 769.10 and 458

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Solution

The fourth proportional to 510.92, 769.10 and 458 is: 689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.92 : 769.10 = 458 : x
  2. Step 2: Convert to fraction form
    510.92/769.10 = 458/x
  3. Step 3: Cross multiply
    510.92x = 769.10 × 458
  4. Step 4: Simplify right side
    510.92x = 352,247.80
  5. Step 5: Solve for x
    x = 352,247.80/510.92
  6. Step 6: Final answer
    x = 689.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.