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Finding the Fourth Proportional to 695.85, 1,043.71 and 421.87

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Solution

The fourth proportional to 695.85, 1,043.71 and 421.87 is: 632.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.85 : 1,043.71 = 421.87 : x
  2. Step 2: Convert to fraction form
    695.85/1,043.71 = 421.87/x
  3. Step 3: Cross multiply
    695.85x = 1,043.71 × 421.87
  4. Step 4: Simplify right side
    695.85x = 440,304.72
  5. Step 5: Solve for x
    x = 440,304.72/695.85
  6. Step 6: Final answer
    x = 632.76

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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.