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Finding the Fourth Proportional to 902.62, 1,352.86 and 433.80

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Solution

The fourth proportional to 902.62, 1,352.86 and 433.80 is: 650.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.62 : 1,352.86 = 433.80 : x
  2. Step 2: Convert to fraction form
    902.62/1,352.86 = 433.80/x
  3. Step 3: Cross multiply
    902.62x = 1,352.86 × 433.80
  4. Step 4: Simplify right side
    902.62x = 586,870.67
  5. Step 5: Solve for x
    x = 586,870.67/902.62
  6. Step 6: Final answer
    x = 650.19

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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.