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Finding the Fourth Proportional to 696.58, 1,042.38 and 655.06

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Solution

The fourth proportional to 696.58, 1,042.38 and 655.06 is: 980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.58 : 1,042.38 = 655.06 : x
  2. Step 2: Convert to fraction form
    696.58/1,042.38 = 655.06/x
  3. Step 3: Cross multiply
    696.58x = 1,042.38 × 655.06
  4. Step 4: Simplify right side
    696.58x = 682,821.44
  5. Step 5: Solve for x
    x = 682,821.44/696.58
  6. Step 6: Final answer
    x = 980.25

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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.