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Finding the Fourth Proportional to 632.90, 873.51 and 371.06

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Solution

The fourth proportional to 632.90, 873.51 and 371.06 is: 512.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.90 : 873.51 = 371.06 : x
  2. Step 2: Convert to fraction form
    632.90/873.51 = 371.06/x
  3. Step 3: Cross multiply
    632.90x = 873.51 × 371.06
  4. Step 4: Simplify right side
    632.90x = 324,124.62
  5. Step 5: Solve for x
    x = 324,124.62/632.90
  6. Step 6: Final answer
    x = 512.13

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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.