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Finding the Fourth Proportional to 650.57, 970.86 and 581.37

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Solution

The fourth proportional to 650.57, 970.86 and 581.37 is: 867.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.57 : 970.86 = 581.37 : x
  2. Step 2: Convert to fraction form
    650.57/970.86 = 581.37/x
  3. Step 3: Cross multiply
    650.57x = 970.86 × 581.37
  4. Step 4: Simplify right side
    650.57x = 564,428.88
  5. Step 5: Solve for x
    x = 564,428.88/650.57
  6. Step 6: Final answer
    x = 867.60

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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.