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Finding the Fourth Proportional to 535.66, 804.84 and 340.75

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Solution

The fourth proportional to 535.66, 804.84 and 340.75 is: 511.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.66 : 804.84 = 340.75 : x
  2. Step 2: Convert to fraction form
    535.66/804.84 = 340.75/x
  3. Step 3: Cross multiply
    535.66x = 804.84 × 340.75
  4. Step 4: Simplify right side
    535.66x = 274,250.55
  5. Step 5: Solve for x
    x = 274,250.55/535.66
  6. Step 6: Final answer
    x = 511.98

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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.