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Finding the Fourth Proportional to 1,252.42, 1,728.28 and 692.86

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Solution

The fourth proportional to 1,252.42, 1,728.28 and 692.86 is: 956.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.42 : 1,728.28 = 692.86 : x
  2. Step 2: Convert to fraction form
    1,252.42/1,728.28 = 692.86/x
  3. Step 3: Cross multiply
    1,252.42x = 1,728.28 × 692.86
  4. Step 4: Simplify right side
    1,252.42x = 1,197,452.62
  5. Step 5: Solve for x
    x = 1,197,452.62/1,252.42
  6. Step 6: Final answer
    x = 956.11

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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.