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Finding the Fourth Proportional to 843.14, 1,262.48 and 695.32

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Solution

The fourth proportional to 843.14, 1,262.48 and 695.32 is: 1,041.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.14 : 1,262.48 = 695.32 : x
  2. Step 2: Convert to fraction form
    843.14/1,262.48 = 695.32/x
  3. Step 3: Cross multiply
    843.14x = 1,262.48 × 695.32
  4. Step 4: Simplify right side
    843.14x = 877,827.59
  5. Step 5: Solve for x
    x = 877,827.59/843.14
  6. Step 6: Final answer
    x = 1,041.14

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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.