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Finding the Fourth Proportional to 862.75, 1,294.33 and 285.63

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Solution

The fourth proportional to 862.75, 1,294.33 and 285.63 is: 428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.75 : 1,294.33 = 285.63 : x
  2. Step 2: Convert to fraction form
    862.75/1,294.33 = 285.63/x
  3. Step 3: Cross multiply
    862.75x = 1,294.33 × 285.63
  4. Step 4: Simplify right side
    862.75x = 369,692.29
  5. Step 5: Solve for x
    x = 369,692.29/862.75
  6. Step 6: Final answer
    x = 428.50

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Half scale
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Double scale
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1.5x scale

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.