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Finding the Fourth Proportional to 849.30, 1,272.15 and 687.30

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Solution

The fourth proportional to 849.30, 1,272.15 and 687.30 is: 1,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.30 : 1,272.15 = 687.30 : x
  2. Step 2: Convert to fraction form
    849.30/1,272.15 = 687.30/x
  3. Step 3: Cross multiply
    849.30x = 1,272.15 × 687.30
  4. Step 4: Simplify right side
    849.30x = 874,348.70
  5. Step 5: Solve for x
    x = 874,348.70/849.30
  6. Step 6: Final answer
    x = 1,029.49

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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.