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Finding the Fourth Proportional to 698.79, 966.42 and 613.74

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Solution

The fourth proportional to 698.79, 966.42 and 613.74 is: 848.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.79 : 966.42 = 613.74 : x
  2. Step 2: Convert to fraction form
    698.79/966.42 = 613.74/x
  3. Step 3: Cross multiply
    698.79x = 966.42 × 613.74
  4. Step 4: Simplify right side
    698.79x = 593,130.61
  5. Step 5: Solve for x
    x = 593,130.61/698.79
  6. Step 6: Final answer
    x = 848.80

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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.