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Finding the Fourth Proportional to 933.12, 1,286.28 and 711.72

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Solution

The fourth proportional to 933.12, 1,286.28 and 711.72 is: 981.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.12 : 1,286.28 = 711.72 : x
  2. Step 2: Convert to fraction form
    933.12/1,286.28 = 711.72/x
  3. Step 3: Cross multiply
    933.12x = 1,286.28 × 711.72
  4. Step 4: Simplify right side
    933.12x = 915,471.20
  5. Step 5: Solve for x
    x = 915,471.20/933.12
  6. Step 6: Final answer
    x = 981.09

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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.