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Finding the Fourth Proportional to 457.58, 630.99 and 317.86

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Solution

The fourth proportional to 457.58, 630.99 and 317.86 is: 438.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.58 : 630.99 = 317.86 : x
  2. Step 2: Convert to fraction form
    457.58/630.99 = 317.86/x
  3. Step 3: Cross multiply
    457.58x = 630.99 × 317.86
  4. Step 4: Simplify right side
    457.58x = 200,564.90
  5. Step 5: Solve for x
    x = 200,564.90/457.58
  6. Step 6: Final answer
    x = 438.31

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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.