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Finding the Fourth Proportional to 695.55, 1,042.67 and 262.61

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Solution

The fourth proportional to 695.55, 1,042.67 and 262.61 is: 393.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.55 : 1,042.67 = 262.61 : x
  2. Step 2: Convert to fraction form
    695.55/1,042.67 = 262.61/x
  3. Step 3: Cross multiply
    695.55x = 1,042.67 × 262.61
  4. Step 4: Simplify right side
    695.55x = 273,814.92
  5. Step 5: Solve for x
    x = 273,814.92/695.55
  6. Step 6: Final answer
    x = 393.66

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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.