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Finding the Fourth Proportional to 510.92, 767.26 and 487.84

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Solution

The fourth proportional to 510.92, 767.26 and 487.84 is: 732.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.92 : 767.26 = 487.84 : x
  2. Step 2: Convert to fraction form
    510.92/767.26 = 487.84/x
  3. Step 3: Cross multiply
    510.92x = 767.26 × 487.84
  4. Step 4: Simplify right side
    510.92x = 374,300.12
  5. Step 5: Solve for x
    x = 374,300.12/510.92
  6. Step 6: Final answer
    x = 732.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.