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Finding the Fourth Proportional to 510.78, 762.99 and 437.88

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Solution

The fourth proportional to 510.78, 762.99 and 437.88 is: 654.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.78 : 762.99 = 437.88 : x
  2. Step 2: Convert to fraction form
    510.78/762.99 = 437.88/x
  3. Step 3: Cross multiply
    510.78x = 762.99 × 437.88
  4. Step 4: Simplify right side
    510.78x = 334,098.06
  5. Step 5: Solve for x
    x = 334,098.06/510.78
  6. Step 6: Final answer
    x = 654.09

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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.