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Finding the Fourth Proportional to 541.72, 807.83 and 537.10

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Solution

The fourth proportional to 541.72, 807.83 and 537.10 is: 800.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.72 : 807.83 = 537.10 : x
  2. Step 2: Convert to fraction form
    541.72/807.83 = 537.10/x
  3. Step 3: Cross multiply
    541.72x = 807.83 × 537.10
  4. Step 4: Simplify right side
    541.72x = 433,885.49
  5. Step 5: Solve for x
    x = 433,885.49/541.72
  6. Step 6: Final answer
    x = 800.94

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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.