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Finding the Fourth Proportional to 811.60, 1,217.86 and 537.82

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Solution

The fourth proportional to 811.60, 1,217.86 and 537.82 is: 807.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.60 : 1,217.86 = 537.82 : x
  2. Step 2: Convert to fraction form
    811.60/1,217.86 = 537.82/x
  3. Step 3: Cross multiply
    811.60x = 1,217.86 × 537.82
  4. Step 4: Simplify right side
    811.60x = 654,989.47
  5. Step 5: Solve for x
    x = 654,989.47/811.60
  6. Step 6: Final answer
    x = 807.03

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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.