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Finding the Fourth Proportional to 2,325.31, 3,488.47 and 765.65

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Solution

The fourth proportional to 2,325.31, 3,488.47 and 765.65 is: 1,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.31 : 3,488.47 = 765.65 : x
  2. Step 2: Convert to fraction form
    2,325.31/3,488.47 = 765.65/x
  3. Step 3: Cross multiply
    2,325.31x = 3,488.47 × 765.65
  4. Step 4: Simplify right side
    2,325.31x = 2,670,953.86
  5. Step 5: Solve for x
    x = 2,670,953.86/2,325.31
  6. Step 6: Final answer
    x = 1,148.65

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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.