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Finding the Fourth Proportional to 1,142.40, 1,574.06 and 888.78

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Solution

The fourth proportional to 1,142.40, 1,574.06 and 888.78 is: 1,224.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.40 : 1,574.06 = 888.78 : x
  2. Step 2: Convert to fraction form
    1,142.40/1,574.06 = 888.78/x
  3. Step 3: Cross multiply
    1,142.40x = 1,574.06 × 888.78
  4. Step 4: Simplify right side
    1,142.40x = 1,398,993.05
  5. Step 5: Solve for x
    x = 1,398,993.05/1,142.40
  6. Step 6: Final answer
    x = 1,224.61

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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.