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Finding the Fourth Proportional to 902.77, 1,353.49 and 354.67

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Solution

The fourth proportional to 902.77, 1,353.49 and 354.67 is: 531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.77 : 1,353.49 = 354.67 : x
  2. Step 2: Convert to fraction form
    902.77/1,353.49 = 354.67/x
  3. Step 3: Cross multiply
    902.77x = 1,353.49 × 354.67
  4. Step 4: Simplify right side
    902.77x = 480,042.30
  5. Step 5: Solve for x
    x = 480,042.30/902.77
  6. Step 6: Final answer
    x = 531.74

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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.