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Finding the Fourth Proportional to 617.58, 925.16 and 400.50

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Solution

The fourth proportional to 617.58, 925.16 and 400.50 is: 599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.58 : 925.16 = 400.50 : x
  2. Step 2: Convert to fraction form
    617.58/925.16 = 400.50/x
  3. Step 3: Cross multiply
    617.58x = 925.16 × 400.50
  4. Step 4: Simplify right side
    617.58x = 370,524.58
  5. Step 5: Solve for x
    x = 370,524.58/617.58
  6. Step 6: Final answer
    x = 599.96

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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.