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Finding the Fourth Proportional to 862.67, 1,294.19 and 285.59

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Solution

The fourth proportional to 862.67, 1,294.19 and 285.59 is: 428.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.67 : 1,294.19 = 285.59 : x
  2. Step 2: Convert to fraction form
    862.67/1,294.19 = 285.59/x
  3. Step 3: Cross multiply
    862.67x = 1,294.19 × 285.59
  4. Step 4: Simplify right side
    862.67x = 369,607.72
  5. Step 5: Solve for x
    x = 369,607.72/862.67
  6. Step 6: Final answer
    x = 428.45

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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.