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Finding the Fourth Proportional to 800.78, 1,201.77 and 540.16

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Solution

The fourth proportional to 800.78, 1,201.77 and 540.16 is: 810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.78 : 1,201.77 = 540.16 : x
  2. Step 2: Convert to fraction form
    800.78/1,201.77 = 540.16/x
  3. Step 3: Cross multiply
    800.78x = 1,201.77 × 540.16
  4. Step 4: Simplify right side
    800.78x = 649,145.08
  5. Step 5: Solve for x
    x = 649,145.08/800.78
  6. Step 6: Final answer
    x = 810.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.