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Finding the Fourth Proportional to 689.80, 952.38 and 610.51

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Solution

The fourth proportional to 689.80, 952.38 and 610.51 is: 842.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.80 : 952.38 = 610.51 : x
  2. Step 2: Convert to fraction form
    689.80/952.38 = 610.51/x
  3. Step 3: Cross multiply
    689.80x = 952.38 × 610.51
  4. Step 4: Simplify right side
    689.80x = 581,437.51
  5. Step 5: Solve for x
    x = 581,437.51/689.80
  6. Step 6: Final answer
    x = 842.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.