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Finding the Fourth Proportional to 696.09, 1,042.52 and 407.73

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Solution

The fourth proportional to 696.09, 1,042.52 and 407.73 is: 610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.09 : 1,042.52 = 407.73 : x
  2. Step 2: Convert to fraction form
    696.09/1,042.52 = 407.73/x
  3. Step 3: Cross multiply
    696.09x = 1,042.52 × 407.73
  4. Step 4: Simplify right side
    696.09x = 425,064.64
  5. Step 5: Solve for x
    x = 425,064.64/696.09
  6. Step 6: Final answer
    x = 610.65

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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.