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Finding the Fourth Proportional to 1,252.29, 1,728.14 and 692.78

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Solution

The fourth proportional to 1,252.29, 1,728.14 and 692.78 is: 956.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.29 : 1,728.14 = 692.78 : x
  2. Step 2: Convert to fraction form
    1,252.29/1,728.14 = 692.78/x
  3. Step 3: Cross multiply
    1,252.29x = 1,728.14 × 692.78
  4. Step 4: Simplify right side
    1,252.29x = 1,197,213.92
  5. Step 5: Solve for x
    x = 1,197,213.92/1,252.29
  6. Step 6: Final answer
    x = 956.02

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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.