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Finding the Fourth Proportional to 692.32, 1,037.26 and 616.99

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Solution

The fourth proportional to 692.32, 1,037.26 and 616.99 is: 924.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.32 : 1,037.26 = 616.99 : x
  2. Step 2: Convert to fraction form
    692.32/1,037.26 = 616.99/x
  3. Step 3: Cross multiply
    692.32x = 1,037.26 × 616.99
  4. Step 4: Simplify right side
    692.32x = 639,970.78
  5. Step 5: Solve for x
    x = 639,970.78/692.32
  6. Step 6: Final answer
    x = 924.39

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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.