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Finding the Fourth Proportional to 457.21, 630.75 and 317.66

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Solution

The fourth proportional to 457.21, 630.75 and 317.66 is: 438.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.21 : 630.75 = 317.66 : x
  2. Step 2: Convert to fraction form
    457.21/630.75 = 317.66/x
  3. Step 3: Cross multiply
    457.21x = 630.75 × 317.66
  4. Step 4: Simplify right side
    457.21x = 200,364.72
  5. Step 5: Solve for x
    x = 200,364.72/457.21
  6. Step 6: Final answer
    x = 438.23

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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.