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Finding the Fourth Proportional to 1,123.64, 1,678.24 and 892.80

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Solution

The fourth proportional to 1,123.64, 1,678.24 and 892.80 is: 1,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.64 : 1,678.24 = 892.80 : x
  2. Step 2: Convert to fraction form
    1,123.64/1,678.24 = 892.80/x
  3. Step 3: Cross multiply
    1,123.64x = 1,678.24 × 892.80
  4. Step 4: Simplify right side
    1,123.64x = 1,498,332.67
  5. Step 5: Solve for x
    x = 1,498,332.67/1,123.64
  6. Step 6: Final answer
    x = 1,333.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.