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Finding the Fourth Proportional to 869.56, 1,302.92 and 695.31

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Solution

The fourth proportional to 869.56, 1,302.92 and 695.31 is: 1,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.56 : 1,302.92 = 695.31 : x
  2. Step 2: Convert to fraction form
    869.56/1,302.92 = 695.31/x
  3. Step 3: Cross multiply
    869.56x = 1,302.92 × 695.31
  4. Step 4: Simplify right side
    869.56x = 905,927.55
  5. Step 5: Solve for x
    x = 905,927.55/869.56
  6. Step 6: Final answer
    x = 1,041.83

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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.