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Finding the Fourth Proportional to 650.52, 970.62 and 611.13

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Solution

The fourth proportional to 650.52, 970.62 and 611.13 is: 911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.52 : 970.62 = 611.13 : x
  2. Step 2: Convert to fraction form
    650.52/970.62 = 611.13/x
  3. Step 3: Cross multiply
    650.52x = 970.62 × 611.13
  4. Step 4: Simplify right side
    650.52x = 593,175.00
  5. Step 5: Solve for x
    x = 593,175.00/650.52
  6. Step 6: Final answer
    x = 911.85

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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.