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Finding the Fourth Proportional to 535.82, 803.39 and 352.67

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Solution

The fourth proportional to 535.82, 803.39 and 352.67 is: 528.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.82 : 803.39 = 352.67 : x
  2. Step 2: Convert to fraction form
    535.82/803.39 = 352.67/x
  3. Step 3: Cross multiply
    535.82x = 803.39 × 352.67
  4. Step 4: Simplify right side
    535.82x = 283,325.77
  5. Step 5: Solve for x
    x = 283,325.77/535.82
  6. Step 6: Final answer
    x = 528.77

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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.