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Finding the Fourth Proportional to 426.88, 639.48 and 400.24

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Solution

The fourth proportional to 426.88, 639.48 and 400.24 is: 599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.88 : 639.48 = 400.24 : x
  2. Step 2: Convert to fraction form
    426.88/639.48 = 400.24/x
  3. Step 3: Cross multiply
    426.88x = 639.48 × 400.24
  4. Step 4: Simplify right side
    426.88x = 255,945.48
  5. Step 5: Solve for x
    x = 255,945.48/426.88
  6. Step 6: Final answer
    x = 599.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.