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Finding the Fourth Proportional to 692.53, 1,037.00 and 383.74

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Solution

The fourth proportional to 692.53, 1,037.00 and 383.74 is: 574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.53 : 1,037.00 = 383.74 : x
  2. Step 2: Convert to fraction form
    692.53/1,037.00 = 383.74/x
  3. Step 3: Cross multiply
    692.53x = 1,037.00 × 383.74
  4. Step 4: Simplify right side
    692.53x = 397,941.93
  5. Step 5: Solve for x
    x = 397,941.93/692.53
  6. Step 6: Final answer
    x = 574.62

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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.