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Finding the Fourth Proportional to 811.32, 1,217.39 and 616.25

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Solution

The fourth proportional to 811.32, 1,217.39 and 616.25 is: 924.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.32 : 1,217.39 = 616.25 : x
  2. Step 2: Convert to fraction form
    811.32/1,217.39 = 616.25/x
  3. Step 3: Cross multiply
    811.32x = 1,217.39 × 616.25
  4. Step 4: Simplify right side
    811.32x = 750,207.42
  5. Step 5: Solve for x
    x = 750,207.42/811.32
  6. Step 6: Final answer
    x = 924.68

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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.