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Finding the Fourth Proportional to 695.93, 1,042.52 and 421.20

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Solution

The fourth proportional to 695.93, 1,042.52 and 421.20 is: 630.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.93 : 1,042.52 = 421.20 : x
  2. Step 2: Convert to fraction form
    695.93/1,042.52 = 421.20/x
  3. Step 3: Cross multiply
    695.93x = 1,042.52 × 421.20
  4. Step 4: Simplify right side
    695.93x = 439,107.32
  5. Step 5: Solve for x
    x = 439,107.32/695.93
  6. Step 6: Final answer
    x = 630.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.