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Finding the Fourth Proportional to 912.72, 1,258.68 and 614.64

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Solution

The fourth proportional to 912.72, 1,258.68 and 614.64 is: 847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.72 : 1,258.68 = 614.64 : x
  2. Step 2: Convert to fraction form
    912.72/1,258.68 = 614.64/x
  3. Step 3: Cross multiply
    912.72x = 1,258.68 × 614.64
  4. Step 4: Simplify right side
    912.72x = 773,635.08
  5. Step 5: Solve for x
    x = 773,635.08/912.72
  6. Step 6: Final answer
    x = 847.61

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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.