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Finding the Fourth Proportional to 426.48, 580.92 and 418.44

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Solution

The fourth proportional to 426.48, 580.92 and 418.44 is: 569.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.48 : 580.92 = 418.44 : x
  2. Step 2: Convert to fraction form
    426.48/580.92 = 418.44/x
  3. Step 3: Cross multiply
    426.48x = 580.92 × 418.44
  4. Step 4: Simplify right side
    426.48x = 243,080.16
  5. Step 5: Solve for x
    x = 243,080.16/426.48
  6. Step 6: Final answer
    x = 569.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.