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Finding the Fourth Proportional to 650.48, 970.68 and 581.25

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Solution

The fourth proportional to 650.48, 970.68 and 581.25 is: 867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.48 : 970.68 = 581.25 : x
  2. Step 2: Convert to fraction form
    650.48/970.68 = 581.25/x
  3. Step 3: Cross multiply
    650.48x = 970.68 × 581.25
  4. Step 4: Simplify right side
    650.48x = 564,207.75
  5. Step 5: Solve for x
    x = 564,207.75/650.48
  6. Step 6: Final answer
    x = 867.38

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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.