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Finding the Fourth Proportional to 692.43, 1,032.23 and 640.59

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Solution

The fourth proportional to 692.43, 1,032.23 and 640.59 is: 954.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.43 : 1,032.23 = 640.59 : x
  2. Step 2: Convert to fraction form
    692.43/1,032.23 = 640.59/x
  3. Step 3: Cross multiply
    692.43x = 1,032.23 × 640.59
  4. Step 4: Simplify right side
    692.43x = 661,236.22
  5. Step 5: Solve for x
    x = 661,236.22/692.43
  6. Step 6: Final answer
    x = 954.95

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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.