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Finding the Fourth Proportional to 934.02, 1,399.41 and 900.45

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Solution

The fourth proportional to 934.02, 1,399.41 and 900.45 is: 1,349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.02 : 1,399.41 = 900.45 : x
  2. Step 2: Convert to fraction form
    934.02/1,399.41 = 900.45/x
  3. Step 3: Cross multiply
    934.02x = 1,399.41 × 900.45
  4. Step 4: Simplify right side
    934.02x = 1,260,098.73
  5. Step 5: Solve for x
    x = 1,260,098.73/934.02
  6. Step 6: Final answer
    x = 1,349.11

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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.