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Finding the Fourth Proportional to 692.85, 1,039.64 and 432.95

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Solution

The fourth proportional to 692.85, 1,039.64 and 432.95 is: 649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.85 : 1,039.64 = 432.95 : x
  2. Step 2: Convert to fraction form
    692.85/1,039.64 = 432.95/x
  3. Step 3: Cross multiply
    692.85x = 1,039.64 × 432.95
  4. Step 4: Simplify right side
    692.85x = 450,104.78
  5. Step 5: Solve for x
    x = 450,104.78/692.85
  6. Step 6: Final answer
    x = 649.64

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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.