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Finding the Fourth Proportional to 510.18, 761.46 and 497.88

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Solution

The fourth proportional to 510.18, 761.46 and 497.88 is: 743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.18 : 761.46 = 497.88 : x
  2. Step 2: Convert to fraction form
    510.18/761.46 = 497.88/x
  3. Step 3: Cross multiply
    510.18x = 761.46 × 497.88
  4. Step 4: Simplify right side
    510.18x = 379,115.70
  5. Step 5: Solve for x
    x = 379,115.70/510.18
  6. Step 6: Final answer
    x = 743.10

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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.