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Finding the Fourth Proportional to 692.48, 1,033.29 and 688.43

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Solution

The fourth proportional to 692.48, 1,033.29 and 688.43 is: 1,027.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.48 : 1,033.29 = 688.43 : x
  2. Step 2: Convert to fraction form
    692.48/1,033.29 = 688.43/x
  3. Step 3: Cross multiply
    692.48x = 1,033.29 × 688.43
  4. Step 4: Simplify right side
    692.48x = 711,340.09
  5. Step 5: Solve for x
    x = 711,340.09/692.48
  6. Step 6: Final answer
    x = 1,027.24

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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.