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Finding the Fourth Proportional to 636.78, 876.66 and 553.84

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Solution

The fourth proportional to 636.78, 876.66 and 553.84 is: 762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.78 : 876.66 = 553.84 : x
  2. Step 2: Convert to fraction form
    636.78/876.66 = 553.84/x
  3. Step 3: Cross multiply
    636.78x = 876.66 × 553.84
  4. Step 4: Simplify right side
    636.78x = 485,526.61
  5. Step 5: Solve for x
    x = 485,526.61/636.78
  6. Step 6: Final answer
    x = 762.47

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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.