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Finding the Fourth Proportional to 1,340.86, 2,011.30 and 691.24

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Solution

The fourth proportional to 1,340.86, 2,011.30 and 691.24 is: 1,036.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.86 : 2,011.30 = 691.24 : x
  2. Step 2: Convert to fraction form
    1,340.86/2,011.30 = 691.24/x
  3. Step 3: Cross multiply
    1,340.86x = 2,011.30 × 691.24
  4. Step 4: Simplify right side
    1,340.86x = 1,390,291.01
  5. Step 5: Solve for x
    x = 1,390,291.01/1,340.86
  6. Step 6: Final answer
    x = 1,036.87

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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.