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Finding the Fourth Proportional to 982.48, 1,472.10 and 692.50

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Solution

The fourth proportional to 982.48, 1,472.10 and 692.50 is: 1,037.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.48 : 1,472.10 = 692.50 : x
  2. Step 2: Convert to fraction form
    982.48/1,472.10 = 692.50/x
  3. Step 3: Cross multiply
    982.48x = 1,472.10 × 692.50
  4. Step 4: Simplify right side
    982.48x = 1,019,429.25
  5. Step 5: Solve for x
    x = 1,019,429.25/982.48
  6. Step 6: Final answer
    x = 1,037.61

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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.