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Finding the Fourth Proportional to 415.61, 625.71 and 367.13

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Solution

The fourth proportional to 415.61, 625.71 and 367.13 is: 552.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.61 : 625.71 = 367.13 : x
  2. Step 2: Convert to fraction form
    415.61/625.71 = 367.13/x
  3. Step 3: Cross multiply
    415.61x = 625.71 × 367.13
  4. Step 4: Simplify right side
    415.61x = 229,719.34
  5. Step 5: Solve for x
    x = 229,719.34/415.61
  6. Step 6: Final answer
    x = 552.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.