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Finding the Fourth Proportional to 862.98, 1,294.76 and 538.57

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Solution

The fourth proportional to 862.98, 1,294.76 and 538.57 is: 808.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.98 : 1,294.76 = 538.57 : x
  2. Step 2: Convert to fraction form
    862.98/1,294.76 = 538.57/x
  3. Step 3: Cross multiply
    862.98x = 1,294.76 × 538.57
  4. Step 4: Simplify right side
    862.98x = 697,318.89
  5. Step 5: Solve for x
    x = 697,318.89/862.98
  6. Step 6: Final answer
    x = 808.04

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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.