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Finding the Fourth Proportional to 617.14, 924.90 and 400.60

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Solution

The fourth proportional to 617.14, 924.90 and 400.60 is: 600.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.14 : 924.90 = 400.60 : x
  2. Step 2: Convert to fraction form
    617.14/924.90 = 400.60/x
  3. Step 3: Cross multiply
    617.14x = 924.90 × 400.60
  4. Step 4: Simplify right side
    617.14x = 370,514.94
  5. Step 5: Solve for x
    x = 370,514.94/617.14
  6. Step 6: Final answer
    x = 600.37

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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.