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Finding the Fourth Proportional to 971.59, 1,456.57 and 483.97

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Solution

The fourth proportional to 971.59, 1,456.57 and 483.97 is: 725.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.59 : 1,456.57 = 483.97 : x
  2. Step 2: Convert to fraction form
    971.59/1,456.57 = 483.97/x
  3. Step 3: Cross multiply
    971.59x = 1,456.57 × 483.97
  4. Step 4: Simplify right side
    971.59x = 704,927.69
  5. Step 5: Solve for x
    x = 704,927.69/971.59
  6. Step 6: Final answer
    x = 725.54

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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.