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Finding the Fourth Proportional to 541.52, 807.89 and 459.44

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Solution

The fourth proportional to 541.52, 807.89 and 459.44 is: 685.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.52 : 807.89 = 459.44 : x
  2. Step 2: Convert to fraction form
    541.52/807.89 = 459.44/x
  3. Step 3: Cross multiply
    541.52x = 807.89 × 459.44
  4. Step 4: Simplify right side
    541.52x = 371,176.98
  5. Step 5: Solve for x
    x = 371,176.98/541.52
  6. Step 6: Final answer
    x = 685.44

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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.