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Finding the Fourth Proportional to 912.56, 1,363.59 and 748.13

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Solution

The fourth proportional to 912.56, 1,363.59 and 748.13 is: 1,117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.56 : 1,363.59 = 748.13 : x
  2. Step 2: Convert to fraction form
    912.56/1,363.59 = 748.13/x
  3. Step 3: Cross multiply
    912.56x = 1,363.59 × 748.13
  4. Step 4: Simplify right side
    912.56x = 1,020,135.77
  5. Step 5: Solve for x
    x = 1,020,135.77/912.56
  6. Step 6: Final answer
    x = 1,117.89

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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.