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Finding the Fourth Proportional to 769.87, 1,061.81 and 521.10

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Solution

The fourth proportional to 769.87, 1,061.81 and 521.10 is: 718.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.87 : 1,061.81 = 521.10 : x
  2. Step 2: Convert to fraction form
    769.87/1,061.81 = 521.10/x
  3. Step 3: Cross multiply
    769.87x = 1,061.81 × 521.10
  4. Step 4: Simplify right side
    769.87x = 553,308.54
  5. Step 5: Solve for x
    x = 553,308.54/769.87
  6. Step 6: Final answer
    x = 718.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.