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Finding the Fourth Proportional to 933.49, 1,288.11 and 540.44

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Solution

The fourth proportional to 933.49, 1,288.11 and 540.44 is: 745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.49 : 1,288.11 = 540.44 : x
  2. Step 2: Convert to fraction form
    933.49/1,288.11 = 540.44/x
  3. Step 3: Cross multiply
    933.49x = 1,288.11 × 540.44
  4. Step 4: Simplify right side
    933.49x = 696,146.17
  5. Step 5: Solve for x
    x = 696,146.17/933.49
  6. Step 6: Final answer
    x = 745.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.