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Finding the Fourth Proportional to 692.52, 1,043.98 and 645.54

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Solution

The fourth proportional to 692.52, 1,043.98 and 645.54 is: 973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.52 : 1,043.98 = 645.54 : x
  2. Step 2: Convert to fraction form
    692.52/1,043.98 = 645.54/x
  3. Step 3: Cross multiply
    692.52x = 1,043.98 × 645.54
  4. Step 4: Simplify right side
    692.52x = 673,930.85
  5. Step 5: Solve for x
    x = 673,930.85/692.52
  6. Step 6: Final answer
    x = 973.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.