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Finding the Fourth Proportional to 400.72, 599.84 and 314.30

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Solution

The fourth proportional to 400.72, 599.84 and 314.30 is: 470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.72 : 599.84 = 314.30 : x
  2. Step 2: Convert to fraction form
    400.72/599.84 = 314.30/x
  3. Step 3: Cross multiply
    400.72x = 599.84 × 314.30
  4. Step 4: Simplify right side
    400.72x = 188,529.71
  5. Step 5: Solve for x
    x = 188,529.71/400.72
  6. Step 6: Final answer
    x = 470.48

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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.