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Finding the Fourth Proportional to 692.62, 1,038.92 and 488.10

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Solution

The fourth proportional to 692.62, 1,038.92 and 488.10 is: 732.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.62 : 1,038.92 = 488.10 : x
  2. Step 2: Convert to fraction form
    692.62/1,038.92 = 488.10/x
  3. Step 3: Cross multiply
    692.62x = 1,038.92 × 488.10
  4. Step 4: Simplify right side
    692.62x = 507,096.85
  5. Step 5: Solve for x
    x = 507,096.85/692.62
  6. Step 6: Final answer
    x = 732.14

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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.