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Finding the Fourth Proportional to 540.07, 803.78 and 536.83

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Solution

The fourth proportional to 540.07, 803.78 and 536.83 is: 798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.07 : 803.78 = 536.83 : x
  2. Step 2: Convert to fraction form
    540.07/803.78 = 536.83/x
  3. Step 3: Cross multiply
    540.07x = 803.78 × 536.83
  4. Step 4: Simplify right side
    540.07x = 431,493.22
  5. Step 5: Solve for x
    x = 431,493.22/540.07
  6. Step 6: Final answer
    x = 798.96

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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.