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Finding the Fourth Proportional to 908.22, 1,252.71 and 613.74

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Solution

The fourth proportional to 908.22, 1,252.71 and 613.74 is: 846.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.22 : 1,252.71 = 613.74 : x
  2. Step 2: Convert to fraction form
    908.22/1,252.71 = 613.74/x
  3. Step 3: Cross multiply
    908.22x = 1,252.71 × 613.74
  4. Step 4: Simplify right side
    908.22x = 768,838.24
  5. Step 5: Solve for x
    x = 768,838.24/908.22
  6. Step 6: Final answer
    x = 846.53

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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.