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Finding the Fourth Proportional to 634.64, 954.12 and 587.12

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Solution

The fourth proportional to 634.64, 954.12 and 587.12 is: 882.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.64 : 954.12 = 587.12 : x
  2. Step 2: Convert to fraction form
    634.64/954.12 = 587.12/x
  3. Step 3: Cross multiply
    634.64x = 954.12 × 587.12
  4. Step 4: Simplify right side
    634.64x = 560,182.93
  5. Step 5: Solve for x
    x = 560,182.93/634.64
  6. Step 6: Final answer
    x = 882.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.