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Finding the Fourth Proportional to 541.38, 808.26 and 490.35

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Solution

The fourth proportional to 541.38, 808.26 and 490.35 is: 732.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.38 : 808.26 = 490.35 : x
  2. Step 2: Convert to fraction form
    541.38/808.26 = 490.35/x
  3. Step 3: Cross multiply
    541.38x = 808.26 × 490.35
  4. Step 4: Simplify right side
    541.38x = 396,330.29
  5. Step 5: Solve for x
    x = 396,330.29/541.38
  6. Step 6: Final answer
    x = 732.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.