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Finding the Fourth Proportional to 650.55, 971.25 and 611.46

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Solution

The fourth proportional to 650.55, 971.25 and 611.46 is: 912.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.55 : 971.25 = 611.46 : x
  2. Step 2: Convert to fraction form
    650.55/971.25 = 611.46/x
  3. Step 3: Cross multiply
    650.55x = 971.25 × 611.46
  4. Step 4: Simplify right side
    650.55x = 593,880.53
  5. Step 5: Solve for x
    x = 593,880.53/650.55
  6. Step 6: Final answer
    x = 912.89

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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.