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Finding the Fourth Proportional to 652.52, 980.54 and 611

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Solution

The fourth proportional to 652.52, 980.54 and 611 is: 918.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.52 : 980.54 = 611 : x
  2. Step 2: Convert to fraction form
    652.52/980.54 = 611/x
  3. Step 3: Cross multiply
    652.52x = 980.54 × 611
  4. Step 4: Simplify right side
    652.52x = 599,109.94
  5. Step 5: Solve for x
    x = 599,109.94/652.52
  6. Step 6: Final answer
    x = 918.15

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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.