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Finding the Fourth Proportional to 2,339.40, 3,508.56 and 695.54

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Solution

The fourth proportional to 2,339.40, 3,508.56 and 695.54 is: 1,043.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.40 : 3,508.56 = 695.54 : x
  2. Step 2: Convert to fraction form
    2,339.40/3,508.56 = 695.54/x
  3. Step 3: Cross multiply
    2,339.40x = 3,508.56 × 695.54
  4. Step 4: Simplify right side
    2,339.40x = 2,440,343.82
  5. Step 5: Solve for x
    x = 2,440,343.82/2,339.40
  6. Step 6: Final answer
    x = 1,043.15

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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.