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Finding the Fourth Proportional to 698.83, 966.14 and 523.87

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Solution

The fourth proportional to 698.83, 966.14 and 523.87 is: 724.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.83 : 966.14 = 523.87 : x
  2. Step 2: Convert to fraction form
    698.83/966.14 = 523.87/x
  3. Step 3: Cross multiply
    698.83x = 966.14 × 523.87
  4. Step 4: Simplify right side
    698.83x = 506,131.76
  5. Step 5: Solve for x
    x = 506,131.76/698.83
  6. Step 6: Final answer
    x = 724.26

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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.