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Finding the Fourth Proportional to 933.29, 1,398.63 and 737.43

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Solution

The fourth proportional to 933.29, 1,398.63 and 737.43 is: 1,105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.29 : 1,398.63 = 737.43 : x
  2. Step 2: Convert to fraction form
    933.29/1,398.63 = 737.43/x
  3. Step 3: Cross multiply
    933.29x = 1,398.63 × 737.43
  4. Step 4: Simplify right side
    933.29x = 1,031,391.72
  5. Step 5: Solve for x
    x = 1,031,391.72/933.29
  6. Step 6: Final answer
    x = 1,105.11

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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.