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Finding the Fourth Proportional to 540.94, 806.89 and 454.81

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Solution

The fourth proportional to 540.94, 806.89 and 454.81 is: 678.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.94 : 806.89 = 454.81 : x
  2. Step 2: Convert to fraction form
    540.94/806.89 = 454.81/x
  3. Step 3: Cross multiply
    540.94x = 806.89 × 454.81
  4. Step 4: Simplify right side
    540.94x = 366,981.64
  5. Step 5: Solve for x
    x = 366,981.64/540.94
  6. Step 6: Final answer
    x = 678.41

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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.