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Finding the Fourth Proportional to 617.44, 924.80 and 400.36

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Solution

The fourth proportional to 617.44, 924.80 and 400.36 is: 599.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.44 : 924.80 = 400.36 : x
  2. Step 2: Convert to fraction form
    617.44/924.80 = 400.36/x
  3. Step 3: Cross multiply
    617.44x = 924.80 × 400.36
  4. Step 4: Simplify right side
    617.44x = 370,252.93
  5. Step 5: Solve for x
    x = 370,252.93/617.44
  6. Step 6: Final answer
    x = 599.66

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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.