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Finding the Fourth Proportional to 510.24, 768.76 and 461.55

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Solution

The fourth proportional to 510.24, 768.76 and 461.55 is: 695.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.24 : 768.76 = 461.55 : x
  2. Step 2: Convert to fraction form
    510.24/768.76 = 461.55/x
  3. Step 3: Cross multiply
    510.24x = 768.76 × 461.55
  4. Step 4: Simplify right side
    510.24x = 354,817.33
  5. Step 5: Solve for x
    x = 354,817.33/510.24
  6. Step 6: Final answer
    x = 695.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.