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Finding the Fourth Proportional to 933.49, 1,401.82 and 896.24

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Solution

The fourth proportional to 933.49, 1,401.82 and 896.24 is: 1,345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.49 : 1,401.82 = 896.24 : x
  2. Step 2: Convert to fraction form
    933.49/1,401.82 = 896.24/x
  3. Step 3: Cross multiply
    933.49x = 1,401.82 × 896.24
  4. Step 4: Simplify right side
    933.49x = 1,256,367.34
  5. Step 5: Solve for x
    x = 1,256,367.34/933.49
  6. Step 6: Final answer
    x = 1,345.88

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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.