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Finding the Fourth Proportional to 515.97, 769.30 and 510.57

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Solution

The fourth proportional to 515.97, 769.30 and 510.57 is: 761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.97 : 769.30 = 510.57 : x
  2. Step 2: Convert to fraction form
    515.97/769.30 = 510.57/x
  3. Step 3: Cross multiply
    515.97x = 769.30 × 510.57
  4. Step 4: Simplify right side
    515.97x = 392,780.22
  5. Step 5: Solve for x
    x = 392,780.22/515.97
  6. Step 6: Final answer
    x = 761.25

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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.