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Finding the Fourth Proportional to 947.88, 1,422.30 and 460.86

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Solution

The fourth proportional to 947.88, 1,422.30 and 460.86 is: 691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.88 : 1,422.30 = 460.86 : x
  2. Step 2: Convert to fraction form
    947.88/1,422.30 = 460.86/x
  3. Step 3: Cross multiply
    947.88x = 1,422.30 × 460.86
  4. Step 4: Simplify right side
    947.88x = 655,481.18
  5. Step 5: Solve for x
    x = 655,481.18/947.88
  6. Step 6: Final answer
    x = 691.52

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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.