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Finding the Fourth Proportional to 617.94, 925.56 and 400.86

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Solution

The fourth proportional to 617.94, 925.56 and 400.86 is: 600.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.94 : 925.56 = 400.86 : x
  2. Step 2: Convert to fraction form
    617.94/925.56 = 400.86/x
  3. Step 3: Cross multiply
    617.94x = 925.56 × 400.86
  4. Step 4: Simplify right side
    617.94x = 371,019.98
  5. Step 5: Solve for x
    x = 371,019.98/617.94
  6. Step 6: Final answer
    x = 600.41

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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.