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Finding the Fourth Proportional to 862.84, 1,294.28 and 285.76

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Solution

The fourth proportional to 862.84, 1,294.28 and 285.76 is: 428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.84 : 1,294.28 = 285.76 : x
  2. Step 2: Convert to fraction form
    862.84/1,294.28 = 285.76/x
  3. Step 3: Cross multiply
    862.84x = 1,294.28 × 285.76
  4. Step 4: Simplify right side
    862.84x = 369,853.45
  5. Step 5: Solve for x
    x = 369,853.45/862.84
  6. Step 6: Final answer
    x = 428.65

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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.