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Finding the Fourth Proportional to 912.50, 1,258.89 and 580.86

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Solution

The fourth proportional to 912.50, 1,258.89 and 580.86 is: 801.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.50 : 1,258.89 = 580.86 : x
  2. Step 2: Convert to fraction form
    912.50/1,258.89 = 580.86/x
  3. Step 3: Cross multiply
    912.50x = 1,258.89 × 580.86
  4. Step 4: Simplify right side
    912.50x = 731,238.85
  5. Step 5: Solve for x
    x = 731,238.85/912.50
  6. Step 6: Final answer
    x = 801.36

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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.