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Finding the Fourth Proportional to 974.88, 1,462.50 and 427.14

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Solution

The fourth proportional to 974.88, 1,462.50 and 427.14 is: 640.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.88 : 1,462.50 = 427.14 : x
  2. Step 2: Convert to fraction form
    974.88/1,462.50 = 427.14/x
  3. Step 3: Cross multiply
    974.88x = 1,462.50 × 427.14
  4. Step 4: Simplify right side
    974.88x = 624,692.25
  5. Step 5: Solve for x
    x = 624,692.25/974.88
  6. Step 6: Final answer
    x = 640.79

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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.