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Finding the Fourth Proportional to 803.69, 1,110 and 541.25

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Solution

The fourth proportional to 803.69, 1,110 and 541.25 is: 747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.69 : 1,110 = 541.25 : x
  2. Step 2: Convert to fraction form
    803.69/1,110 = 541.25/x
  3. Step 3: Cross multiply
    803.69x = 1,110 × 541.25
  4. Step 4: Simplify right side
    803.69x = 600,787.50
  5. Step 5: Solve for x
    x = 600,787.50/803.69
  6. Step 6: Final answer
    x = 747.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.