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Finding the Fourth Proportional to 426.81, 591.71 and 411.80

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Solution

The fourth proportional to 426.81, 591.71 and 411.80 is: 570.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.81 : 591.71 = 411.80 : x
  2. Step 2: Convert to fraction form
    426.81/591.71 = 411.80/x
  3. Step 3: Cross multiply
    426.81x = 591.71 × 411.80
  4. Step 4: Simplify right side
    426.81x = 243,664.25
  5. Step 5: Solve for x
    x = 243,664.25/426.81
  6. Step 6: Final answer
    x = 570.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.