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Finding the Fourth Proportional to 457.34, 630.95 and 317.57

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Solution

The fourth proportional to 457.34, 630.95 and 317.57 is: 438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.34 : 630.95 = 317.57 : x
  2. Step 2: Convert to fraction form
    457.34/630.95 = 317.57/x
  3. Step 3: Cross multiply
    457.34x = 630.95 × 317.57
  4. Step 4: Simplify right side
    457.34x = 200,371.97
  5. Step 5: Solve for x
    x = 200,371.97/457.34
  6. Step 6: Final answer
    x = 438.12

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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.