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Finding the Fourth Proportional to 811.60, 1,217.24 and 372.72

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Solution

The fourth proportional to 811.60, 1,217.24 and 372.72 is: 559.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.60 : 1,217.24 = 372.72 : x
  2. Step 2: Convert to fraction form
    811.60/1,217.24 = 372.72/x
  3. Step 3: Cross multiply
    811.60x = 1,217.24 × 372.72
  4. Step 4: Simplify right side
    811.60x = 453,689.69
  5. Step 5: Solve for x
    x = 453,689.69/811.60
  6. Step 6: Final answer
    x = 559.01

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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.