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Finding the Fourth Proportional to 514.76, 766.65 and 512.20

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Solution

The fourth proportional to 514.76, 766.65 and 512.20 is: 762.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.76 : 766.65 = 512.20 : x
  2. Step 2: Convert to fraction form
    514.76/766.65 = 512.20/x
  3. Step 3: Cross multiply
    514.76x = 766.65 × 512.20
  4. Step 4: Simplify right side
    514.76x = 392,678.13
  5. Step 5: Solve for x
    x = 392,678.13/514.76
  6. Step 6: Final answer
    x = 762.84

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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.