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Finding the Fourth Proportional to 813.24, 1,121.85 and 517.98

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Solution

The fourth proportional to 813.24, 1,121.85 and 517.98 is: 714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.24 : 1,121.85 = 517.98 : x
  2. Step 2: Convert to fraction form
    813.24/1,121.85 = 517.98/x
  3. Step 3: Cross multiply
    813.24x = 1,121.85 × 517.98
  4. Step 4: Simplify right side
    813.24x = 581,095.86
  5. Step 5: Solve for x
    x = 581,095.86/813.24
  6. Step 6: Final answer
    x = 714.54

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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.