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Finding the Fourth Proportional to 650.98, 971.43 and 581.75

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Solution

The fourth proportional to 650.98, 971.43 and 581.75 is: 868.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.98 : 971.43 = 581.75 : x
  2. Step 2: Convert to fraction form
    650.98/971.43 = 581.75/x
  3. Step 3: Cross multiply
    650.98x = 971.43 × 581.75
  4. Step 4: Simplify right side
    650.98x = 565,129.40
  5. Step 5: Solve for x
    x = 565,129.40/650.98
  6. Step 6: Final answer
    x = 868.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.