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Finding the Fourth Proportional to 692.70, 1,030.94 and 660.30

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Solution

The fourth proportional to 692.70, 1,030.94 and 660.30 is: 982.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.70 : 1,030.94 = 660.30 : x
  2. Step 2: Convert to fraction form
    692.70/1,030.94 = 660.30/x
  3. Step 3: Cross multiply
    692.70x = 1,030.94 × 660.30
  4. Step 4: Simplify right side
    692.70x = 680,726.38
  5. Step 5: Solve for x
    x = 680,726.38/692.70
  6. Step 6: Final answer
    x = 982.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.