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Finding the Fourth Proportional to 426.06, 590.68 and 411.04

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Solution

The fourth proportional to 426.06, 590.68 and 411.04 is: 569.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.06 : 590.68 = 411.04 : x
  2. Step 2: Convert to fraction form
    426.06/590.68 = 411.04/x
  3. Step 3: Cross multiply
    426.06x = 590.68 × 411.04
  4. Step 4: Simplify right side
    426.06x = 242,792.05
  5. Step 5: Solve for x
    x = 242,792.05/426.06
  6. Step 6: Final answer
    x = 569.85

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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.