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Finding the Fourth Proportional to 539.60, 804.58 and 515.84

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Solution

The fourth proportional to 539.60, 804.58 and 515.84 is: 769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.60 : 804.58 = 515.84 : x
  2. Step 2: Convert to fraction form
    539.60/804.58 = 515.84/x
  3. Step 3: Cross multiply
    539.60x = 804.58 × 515.84
  4. Step 4: Simplify right side
    539.60x = 415,034.55
  5. Step 5: Solve for x
    x = 415,034.55/539.60
  6. Step 6: Final answer
    x = 769.15

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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.