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Finding the Fourth Proportional to 457.64, 631.34 and 324.87

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Solution

The fourth proportional to 457.64, 631.34 and 324.87 is: 448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.64 : 631.34 = 324.87 : x
  2. Step 2: Convert to fraction form
    457.64/631.34 = 324.87/x
  3. Step 3: Cross multiply
    457.64x = 631.34 × 324.87
  4. Step 4: Simplify right side
    457.64x = 205,100.65
  5. Step 5: Solve for x
    x = 205,100.65/457.64
  6. Step 6: Final answer
    x = 448.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.