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Finding the Fourth Proportional to 426.36, 591.65 and 411

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Solution

The fourth proportional to 426.36, 591.65 and 411 is: 570.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.36 : 591.65 = 411 : x
  2. Step 2: Convert to fraction form
    426.36/591.65 = 411/x
  3. Step 3: Cross multiply
    426.36x = 591.65 × 411
  4. Step 4: Simplify right side
    426.36x = 243,166.10
  5. Step 5: Solve for x
    x = 243,166.10/426.36
  6. Step 6: Final answer
    x = 570.33

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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.