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Finding the Fourth Proportional to 772.85, 1,159.16 and 224.92

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Solution

The fourth proportional to 772.85, 1,159.16 and 224.92 is: 337.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.85 : 1,159.16 = 224.92 : x
  2. Step 2: Convert to fraction form
    772.85/1,159.16 = 224.92/x
  3. Step 3: Cross multiply
    772.85x = 1,159.16 × 224.92
  4. Step 4: Simplify right side
    772.85x = 260,718.27
  5. Step 5: Solve for x
    x = 260,718.27/772.85
  6. Step 6: Final answer
    x = 337.35

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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.