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Finding the Fourth Proportional to 652.82, 980.00 and 649.85

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Solution

The fourth proportional to 652.82, 980.00 and 649.85 is: 975.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.82 : 980.00 = 649.85 : x
  2. Step 2: Convert to fraction form
    652.82/980.00 = 649.85/x
  3. Step 3: Cross multiply
    652.82x = 980.00 × 649.85
  4. Step 4: Simplify right side
    652.82x = 636,844.85
  5. Step 5: Solve for x
    x = 636,844.85/652.82
  6. Step 6: Final answer
    x = 975.54

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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.