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Finding the Fourth Proportional to 535.32, 804.19 and 319.04

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Solution

The fourth proportional to 535.32, 804.19 and 319.04 is: 479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.32 : 804.19 = 319.04 : x
  2. Step 2: Convert to fraction form
    535.32/804.19 = 319.04/x
  3. Step 3: Cross multiply
    535.32x = 804.19 × 319.04
  4. Step 4: Simplify right side
    535.32x = 256,568.78
  5. Step 5: Solve for x
    x = 256,568.78/535.32
  6. Step 6: Final answer
    x = 479.28

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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.