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Finding the Fourth Proportional to 914.57, 1,371.18 and 641.15

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Solution

The fourth proportional to 914.57, 1,371.18 and 641.15 is: 961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.57 : 1,371.18 = 641.15 : x
  2. Step 2: Convert to fraction form
    914.57/1,371.18 = 641.15/x
  3. Step 3: Cross multiply
    914.57x = 1,371.18 × 641.15
  4. Step 4: Simplify right side
    914.57x = 879,132.06
  5. Step 5: Solve for x
    x = 879,132.06/914.57
  6. Step 6: Final answer
    x = 961.25

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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.