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Finding the Fourth Proportional to 541.91, 806.38 and 540.08

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Solution

The fourth proportional to 541.91, 806.38 and 540.08 is: 803.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.91 : 806.38 = 540.08 : x
  2. Step 2: Convert to fraction form
    541.91/806.38 = 540.08/x
  3. Step 3: Cross multiply
    541.91x = 806.38 × 540.08
  4. Step 4: Simplify right side
    541.91x = 435,513.41
  5. Step 5: Solve for x
    x = 435,513.41/541.91
  6. Step 6: Final answer
    x = 803.67

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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.