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Finding the Fourth Proportional to 971.22, 1,456.02 and 580.26

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Solution

The fourth proportional to 971.22, 1,456.02 and 580.26 is: 869.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.22 : 1,456.02 = 580.26 : x
  2. Step 2: Convert to fraction form
    971.22/1,456.02 = 580.26/x
  3. Step 3: Cross multiply
    971.22x = 1,456.02 × 580.26
  4. Step 4: Simplify right side
    971.22x = 844,870.17
  5. Step 5: Solve for x
    x = 844,870.17/971.22
  6. Step 6: Final answer
    x = 869.91

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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.