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Finding the Fourth Proportional to 633.62, 954.28 and 557.58

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Solution

The fourth proportional to 633.62, 954.28 and 557.58 is: 839.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.62 : 954.28 = 557.58 : x
  2. Step 2: Convert to fraction form
    633.62/954.28 = 557.58/x
  3. Step 3: Cross multiply
    633.62x = 954.28 × 557.58
  4. Step 4: Simplify right side
    633.62x = 532,091.72
  5. Step 5: Solve for x
    x = 532,091.72/633.62
  6. Step 6: Final answer
    x = 839.76

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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.