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Finding the Fourth Proportional to 1,130.43, 1,692.03 and 737.29

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Solution

The fourth proportional to 1,130.43, 1,692.03 and 737.29 is: 1,103.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.43 : 1,692.03 = 737.29 : x
  2. Step 2: Convert to fraction form
    1,130.43/1,692.03 = 737.29/x
  3. Step 3: Cross multiply
    1,130.43x = 1,692.03 × 737.29
  4. Step 4: Simplify right side
    1,130.43x = 1,247,508.34
  5. Step 5: Solve for x
    x = 1,247,508.34/1,130.43
  6. Step 6: Final answer
    x = 1,103.57

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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.