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Finding the Fourth Proportional to 912.11, 1,258.76 and 580.60

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Solution

The fourth proportional to 912.11, 1,258.76 and 580.60 is: 801.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.11 : 1,258.76 = 580.60 : x
  2. Step 2: Convert to fraction form
    912.11/1,258.76 = 580.60/x
  3. Step 3: Cross multiply
    912.11x = 1,258.76 × 580.60
  4. Step 4: Simplify right side
    912.11x = 730,826.86
  5. Step 5: Solve for x
    x = 730,826.86/912.11
  6. Step 6: Final answer
    x = 801.25

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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.