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Finding the Fourth Proportional to 510.12, 769.38 and 493.70

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Solution

The fourth proportional to 510.12, 769.38 and 493.70 is: 744.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.12 : 769.38 = 493.70 : x
  2. Step 2: Convert to fraction form
    510.12/769.38 = 493.70/x
  3. Step 3: Cross multiply
    510.12x = 769.38 × 493.70
  4. Step 4: Simplify right side
    510.12x = 379,842.91
  5. Step 5: Solve for x
    x = 379,842.91/510.12
  6. Step 6: Final answer
    x = 744.61

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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.