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Finding the Fourth Proportional to 692.16, 1,037.51 and 461.21

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Solution

The fourth proportional to 692.16, 1,037.51 and 461.21 is: 691.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.16 : 1,037.51 = 461.21 : x
  2. Step 2: Convert to fraction form
    692.16/1,037.51 = 461.21/x
  3. Step 3: Cross multiply
    692.16x = 1,037.51 × 461.21
  4. Step 4: Simplify right side
    692.16x = 478,510.06
  5. Step 5: Solve for x
    x = 478,510.06/692.16
  6. Step 6: Final answer
    x = 691.33

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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.