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Finding the Fourth Proportional to 2,439.69, 3,659.54 and 590.81

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Solution

The fourth proportional to 2,439.69, 3,659.54 and 590.81 is: 886.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.69 : 3,659.54 = 590.81 : x
  2. Step 2: Convert to fraction form
    2,439.69/3,659.54 = 590.81/x
  3. Step 3: Cross multiply
    2,439.69x = 3,659.54 × 590.81
  4. Step 4: Simplify right side
    2,439.69x = 2,162,080.88
  5. Step 5: Solve for x
    x = 2,162,080.88/2,439.69
  6. Step 6: Final answer
    x = 886.21

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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.