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Finding the Fourth Proportional to 510.62, 762.80 and 492.39

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Solution

The fourth proportional to 510.62, 762.80 and 492.39 is: 735.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.62 : 762.80 = 492.39 : x
  2. Step 2: Convert to fraction form
    510.62/762.80 = 492.39/x
  3. Step 3: Cross multiply
    510.62x = 762.80 × 492.39
  4. Step 4: Simplify right side
    510.62x = 375,592.63
  5. Step 5: Solve for x
    x = 375,592.63/510.62
  6. Step 6: Final answer
    x = 735.57

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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.