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Finding the Fourth Proportional to 535.32, 800.82 and 453.24

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Solution

The fourth proportional to 535.32, 800.82 and 453.24 is: 678.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.32 : 800.82 = 453.24 : x
  2. Step 2: Convert to fraction form
    535.32/800.82 = 453.24/x
  3. Step 3: Cross multiply
    535.32x = 800.82 × 453.24
  4. Step 4: Simplify right side
    535.32x = 362,963.66
  5. Step 5: Solve for x
    x = 362,963.66/535.32
  6. Step 6: Final answer
    x = 678.03

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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.