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Finding the Fourth Proportional to 539.80, 803.22 and 537.98

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Solution

The fourth proportional to 539.80, 803.22 and 537.98 is: 800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.80 : 803.22 = 537.98 : x
  2. Step 2: Convert to fraction form
    539.80/803.22 = 537.98/x
  3. Step 3: Cross multiply
    539.80x = 803.22 × 537.98
  4. Step 4: Simplify right side
    539.80x = 432,110.26
  5. Step 5: Solve for x
    x = 432,110.26/539.80
  6. Step 6: Final answer
    x = 800.50

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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.