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Finding the Fourth Proportional to 1,056.54, 1,585.88 and 748.74

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Solution

The fourth proportional to 1,056.54, 1,585.88 and 748.74 is: 1,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.54 : 1,585.88 = 748.74 : x
  2. Step 2: Convert to fraction form
    1,056.54/1,585.88 = 748.74/x
  3. Step 3: Cross multiply
    1,056.54x = 1,585.88 × 748.74
  4. Step 4: Simplify right side
    1,056.54x = 1,187,411.79
  5. Step 5: Solve for x
    x = 1,187,411.79/1,056.54
  6. Step 6: Final answer
    x = 1,123.87

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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.