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Finding the Fourth Proportional to 540.19, 804.75 and 520.59

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Solution

The fourth proportional to 540.19, 804.75 and 520.59 is: 775.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.19 : 804.75 = 520.59 : x
  2. Step 2: Convert to fraction form
    540.19/804.75 = 520.59/x
  3. Step 3: Cross multiply
    540.19x = 804.75 × 520.59
  4. Step 4: Simplify right side
    540.19x = 418,944.80
  5. Step 5: Solve for x
    x = 418,944.80/540.19
  6. Step 6: Final answer
    x = 775.55

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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.