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Finding the Fourth Proportional to 650.34, 976.62 and 581.04

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Solution

The fourth proportional to 650.34, 976.62 and 581.04 is: 872.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.34 : 976.62 = 581.04 : x
  2. Step 2: Convert to fraction form
    650.34/976.62 = 581.04/x
  3. Step 3: Cross multiply
    650.34x = 976.62 × 581.04
  4. Step 4: Simplify right side
    650.34x = 567,455.28
  5. Step 5: Solve for x
    x = 567,455.28/650.34
  6. Step 6: Final answer
    x = 872.55

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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.