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Finding the Fourth Proportional to 701.98, 1,052.61 and 409.57

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Solution

The fourth proportional to 701.98, 1,052.61 and 409.57 is: 614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.98 : 1,052.61 = 409.57 : x
  2. Step 2: Convert to fraction form
    701.98/1,052.61 = 409.57/x
  3. Step 3: Cross multiply
    701.98x = 1,052.61 × 409.57
  4. Step 4: Simplify right side
    701.98x = 431,117.48
  5. Step 5: Solve for x
    x = 431,117.48/701.98
  6. Step 6: Final answer
    x = 614.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.