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Finding the Fourth Proportional to 632.80, 873.14 and 367.12

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Solution

The fourth proportional to 632.80, 873.14 and 367.12 is: 506.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.80 : 873.14 = 367.12 : x
  2. Step 2: Convert to fraction form
    632.80/873.14 = 367.12/x
  3. Step 3: Cross multiply
    632.80x = 873.14 × 367.12
  4. Step 4: Simplify right side
    632.80x = 320,547.16
  5. Step 5: Solve for x
    x = 320,547.16/632.80
  6. Step 6: Final answer
    x = 506.55

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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.