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Finding the Fourth Proportional to 933.34, 1,288.02 and 540.49

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Solution

The fourth proportional to 933.34, 1,288.02 and 540.49 is: 745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.34 : 1,288.02 = 540.49 : x
  2. Step 2: Convert to fraction form
    933.34/1,288.02 = 540.49/x
  3. Step 3: Cross multiply
    933.34x = 1,288.02 × 540.49
  4. Step 4: Simplify right side
    933.34x = 696,161.93
  5. Step 5: Solve for x
    x = 696,161.93/933.34
  6. Step 6: Final answer
    x = 745.88

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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.