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Finding the Fourth Proportional to 617.05, 924.78 and 461.76

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Solution

The fourth proportional to 617.05, 924.78 and 461.76 is: 692.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.05 : 924.78 = 461.76 : x
  2. Step 2: Convert to fraction form
    617.05/924.78 = 461.76/x
  3. Step 3: Cross multiply
    617.05x = 924.78 × 461.76
  4. Step 4: Simplify right side
    617.05x = 427,026.85
  5. Step 5: Solve for x
    x = 427,026.85/617.05
  6. Step 6: Final answer
    x = 692.04

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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.