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Finding the Fourth Proportional to 872.15, 1,307.90 and 542.57

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Solution

The fourth proportional to 872.15, 1,307.90 and 542.57 is: 813.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.15 : 1,307.90 = 542.57 : x
  2. Step 2: Convert to fraction form
    872.15/1,307.90 = 542.57/x
  3. Step 3: Cross multiply
    872.15x = 1,307.90 × 542.57
  4. Step 4: Simplify right side
    872.15x = 709,618.05
  5. Step 5: Solve for x
    x = 709,618.05/872.15
  6. Step 6: Final answer
    x = 813.65

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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.