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Finding the Fourth Proportional to 695.82, 1,042.47 and 421.98

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Solution

The fourth proportional to 695.82, 1,042.47 and 421.98 is: 632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.82 : 1,042.47 = 421.98 : x
  2. Step 2: Convert to fraction form
    695.82/1,042.47 = 421.98/x
  3. Step 3: Cross multiply
    695.82x = 1,042.47 × 421.98
  4. Step 4: Simplify right side
    695.82x = 439,901.49
  5. Step 5: Solve for x
    x = 439,901.49/695.82
  6. Step 6: Final answer
    x = 632.21

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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.