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Finding the Fourth Proportional to 1,142.02, 1,574.94 and 748.90

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Solution

The fourth proportional to 1,142.02, 1,574.94 and 748.90 is: 1,032.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.02 : 1,574.94 = 748.90 : x
  2. Step 2: Convert to fraction form
    1,142.02/1,574.94 = 748.90/x
  3. Step 3: Cross multiply
    1,142.02x = 1,574.94 × 748.90
  4. Step 4: Simplify right side
    1,142.02x = 1,179,472.57
  5. Step 5: Solve for x
    x = 1,179,472.57/1,142.02
  6. Step 6: Final answer
    x = 1,032.80

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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.