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Finding the Fourth Proportional to 675, 1,011.96 and 649.08

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Solution

The fourth proportional to 675, 1,011.96 and 649.08 is: 973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    675 : 1,011.96 = 649.08 : x
  2. Step 2: Convert to fraction form
    675/1,011.96 = 649.08/x
  3. Step 3: Cross multiply
    675x = 1,011.96 × 649.08
  4. Step 4: Simplify right side
    675x = 656,843.00
  5. Step 5: Solve for x
    x = 656,843.00/675
  6. Step 6: Final answer
    x = 973.10

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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.