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Finding the Fourth Proportional to 1,251.79, 1,727.43 and 692.25

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Solution

The fourth proportional to 1,251.79, 1,727.43 and 692.25 is: 955.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.79 : 1,727.43 = 692.25 : x
  2. Step 2: Convert to fraction form
    1,251.79/1,727.43 = 692.25/x
  3. Step 3: Cross multiply
    1,251.79x = 1,727.43 × 692.25
  4. Step 4: Simplify right side
    1,251.79x = 1,195,815.83
  5. Step 5: Solve for x
    x = 1,195,815.83/1,251.79
  6. Step 6: Final answer
    x = 955.29

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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.