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Finding the Fourth Proportional to 813.88, 1,217.64 and 703.24

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Solution

The fourth proportional to 813.88, 1,217.64 and 703.24 is: 1,052.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.88 : 1,217.64 = 703.24 : x
  2. Step 2: Convert to fraction form
    813.88/1,217.64 = 703.24/x
  3. Step 3: Cross multiply
    813.88x = 1,217.64 × 703.24
  4. Step 4: Simplify right side
    813.88x = 856,293.15
  5. Step 5: Solve for x
    x = 856,293.15/813.88
  6. Step 6: Final answer
    x = 1,052.11

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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.