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Finding the Fourth Proportional to 587.71, 811.38 and 391.69

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Solution

The fourth proportional to 587.71, 811.38 and 391.69 is: 540.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.71 : 811.38 = 391.69 : x
  2. Step 2: Convert to fraction form
    587.71/811.38 = 391.69/x
  3. Step 3: Cross multiply
    587.71x = 811.38 × 391.69
  4. Step 4: Simplify right side
    587.71x = 317,809.43
  5. Step 5: Solve for x
    x = 317,809.43/587.71
  6. Step 6: Final answer
    x = 540.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.