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Finding the Fourth Proportional to 902.25, 1,350.81 and 623.98

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Solution

The fourth proportional to 902.25, 1,350.81 and 623.98 is: 934.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.25 : 1,350.81 = 623.98 : x
  2. Step 2: Convert to fraction form
    902.25/1,350.81 = 623.98/x
  3. Step 3: Cross multiply
    902.25x = 1,350.81 × 623.98
  4. Step 4: Simplify right side
    902.25x = 842,878.95
  5. Step 5: Solve for x
    x = 842,878.95/902.25
  6. Step 6: Final answer
    x = 934.20

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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.