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Finding the Fourth Proportional to 636.12, 876.93 and 415.02

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Solution

The fourth proportional to 636.12, 876.93 and 415.02 is: 572.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.12 : 876.93 = 415.02 : x
  2. Step 2: Convert to fraction form
    636.12/876.93 = 415.02/x
  3. Step 3: Cross multiply
    636.12x = 876.93 × 415.02
  4. Step 4: Simplify right side
    636.12x = 363,943.49
  5. Step 5: Solve for x
    x = 363,943.49/636.12
  6. Step 6: Final answer
    x = 572.13

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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.