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Finding the Fourth Proportional to 457.71, 632.19 and 347.15

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Solution

The fourth proportional to 457.71, 632.19 and 347.15 is: 479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.71 : 632.19 = 347.15 : x
  2. Step 2: Convert to fraction form
    457.71/632.19 = 347.15/x
  3. Step 3: Cross multiply
    457.71x = 632.19 × 347.15
  4. Step 4: Simplify right side
    457.71x = 219,461.60
  5. Step 5: Solve for x
    x = 219,461.60/457.71
  6. Step 6: Final answer
    x = 479.48

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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.