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Finding the Fourth Proportional to 2,339.90, 3,509.76 and 696.48

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Solution

The fourth proportional to 2,339.90, 3,509.76 and 696.48 is: 1,044.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.90 : 3,509.76 = 696.48 : x
  2. Step 2: Convert to fraction form
    2,339.90/3,509.76 = 696.48/x
  3. Step 3: Cross multiply
    2,339.90x = 3,509.76 × 696.48
  4. Step 4: Simplify right side
    2,339.90x = 2,444,477.64
  5. Step 5: Solve for x
    x = 2,444,477.64/2,339.90
  6. Step 6: Final answer
    x = 1,044.69

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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.