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Finding the Fourth Proportional to 510.28, 767.02 and 484.68

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Solution

The fourth proportional to 510.28, 767.02 and 484.68 is: 728.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.28 : 767.02 = 484.68 : x
  2. Step 2: Convert to fraction form
    510.28/767.02 = 484.68/x
  3. Step 3: Cross multiply
    510.28x = 767.02 × 484.68
  4. Step 4: Simplify right side
    510.28x = 371,759.25
  5. Step 5: Solve for x
    x = 371,759.25/510.28
  6. Step 6: Final answer
    x = 728.54

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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.