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Finding the Fourth Proportional to 650.48, 971.67 and 585.36

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Solution

The fourth proportional to 650.48, 971.67 and 585.36 is: 874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.48 : 971.67 = 585.36 : x
  2. Step 2: Convert to fraction form
    650.48/971.67 = 585.36/x
  3. Step 3: Cross multiply
    650.48x = 971.67 × 585.36
  4. Step 4: Simplify right side
    650.48x = 568,778.95
  5. Step 5: Solve for x
    x = 568,778.95/650.48
  6. Step 6: Final answer
    x = 874.41

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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.