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Finding the Fourth Proportional to 617.94, 925.11 and 464.49

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Solution

The fourth proportional to 617.94, 925.11 and 464.49 is: 695.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.94 : 925.11 = 464.49 : x
  2. Step 2: Convert to fraction form
    617.94/925.11 = 464.49/x
  3. Step 3: Cross multiply
    617.94x = 925.11 × 464.49
  4. Step 4: Simplify right side
    617.94x = 429,704.34
  5. Step 5: Solve for x
    x = 429,704.34/617.94
  6. Step 6: Final answer
    x = 695.38

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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.