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Finding the Fourth Proportional to 617.24, 924.60 and 400.16

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Solution

The fourth proportional to 617.24, 924.60 and 400.16 is: 599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.24 : 924.60 = 400.16 : x
  2. Step 2: Convert to fraction form
    617.24/924.60 = 400.16/x
  3. Step 3: Cross multiply
    617.24x = 924.60 × 400.16
  4. Step 4: Simplify right side
    617.24x = 369,987.94
  5. Step 5: Solve for x
    x = 369,987.94/617.24
  6. Step 6: Final answer
    x = 599.42

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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.