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Finding the Fourth Proportional to 933.83, 1,400.96 and 660.45

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Solution

The fourth proportional to 933.83, 1,400.96 and 660.45 is: 990.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.83 : 1,400.96 = 660.45 : x
  2. Step 2: Convert to fraction form
    933.83/1,400.96 = 660.45/x
  3. Step 3: Cross multiply
    933.83x = 1,400.96 × 660.45
  4. Step 4: Simplify right side
    933.83x = 925,260.73
  5. Step 5: Solve for x
    x = 925,260.73/933.83
  6. Step 6: Final answer
    x = 990.83

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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.