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Finding the Fourth Proportional to 426.54, 585.12 and 401.70

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Solution

The fourth proportional to 426.54, 585.12 and 401.70 is: 551.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.54 : 585.12 = 401.70 : x
  2. Step 2: Convert to fraction form
    426.54/585.12 = 401.70/x
  3. Step 3: Cross multiply
    426.54x = 585.12 × 401.70
  4. Step 4: Simplify right side
    426.54x = 235,042.70
  5. Step 5: Solve for x
    x = 235,042.70/426.54
  6. Step 6: Final answer
    x = 551.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.