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Finding the Fourth Proportional to 971.82, 1,456.72 and 423.86

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Solution

The fourth proportional to 971.82, 1,456.72 and 423.86 is: 635.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.82 : 1,456.72 = 423.86 : x
  2. Step 2: Convert to fraction form
    971.82/1,456.72 = 423.86/x
  3. Step 3: Cross multiply
    971.82x = 1,456.72 × 423.86
  4. Step 4: Simplify right side
    971.82x = 617,437.00
  5. Step 5: Solve for x
    x = 617,437.00/971.82
  6. Step 6: Final answer
    x = 635.34

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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.