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Finding the Fourth Proportional to 650.71, 971.31 and 564.65

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Solution

The fourth proportional to 650.71, 971.31 and 564.65 is: 842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.71 : 971.31 = 564.65 : x
  2. Step 2: Convert to fraction form
    650.71/971.31 = 564.65/x
  3. Step 3: Cross multiply
    650.71x = 971.31 × 564.65
  4. Step 4: Simplify right side
    650.71x = 548,450.19
  5. Step 5: Solve for x
    x = 548,450.19/650.71
  6. Step 6: Final answer
    x = 842.85

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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.