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Finding the Fourth Proportional to 652.44, 976.79 and 611.57

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Solution

The fourth proportional to 652.44, 976.79 and 611.57 is: 915.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.44 : 976.79 = 611.57 : x
  2. Step 2: Convert to fraction form
    652.44/976.79 = 611.57/x
  3. Step 3: Cross multiply
    652.44x = 976.79 × 611.57
  4. Step 4: Simplify right side
    652.44x = 597,367.52
  5. Step 5: Solve for x
    x = 597,367.52/652.44
  6. Step 6: Final answer
    x = 915.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.