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Finding the Fourth Proportional to 515.39, 769.52 and 510.20

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Solution

The fourth proportional to 515.39, 769.52 and 510.20 is: 761.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.39 : 769.52 = 510.20 : x
  2. Step 2: Convert to fraction form
    515.39/769.52 = 510.20/x
  3. Step 3: Cross multiply
    515.39x = 769.52 × 510.20
  4. Step 4: Simplify right side
    515.39x = 392,602.71
  5. Step 5: Solve for x
    x = 392,602.71/515.39
  6. Step 6: Final answer
    x = 761.77

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1.5x scale

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.