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Finding the Fourth Proportional to 541.88, 809.38 and 464.48

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Solution

The fourth proportional to 541.88, 809.38 and 464.48 is: 693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.88 : 809.38 = 464.48 : x
  2. Step 2: Convert to fraction form
    541.88/809.38 = 464.48/x
  3. Step 3: Cross multiply
    541.88x = 809.38 × 464.48
  4. Step 4: Simplify right side
    541.88x = 375,940.82
  5. Step 5: Solve for x
    x = 375,940.82/541.88
  6. Step 6: Final answer
    x = 693.77

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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.