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Finding the Fourth Proportional to 933.31, 1,288.98 and 725.98

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Solution

The fourth proportional to 933.31, 1,288.98 and 725.98 is: 1,002.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.31 : 1,288.98 = 725.98 : x
  2. Step 2: Convert to fraction form
    933.31/1,288.98 = 725.98/x
  3. Step 3: Cross multiply
    933.31x = 1,288.98 × 725.98
  4. Step 4: Simplify right side
    933.31x = 935,773.70
  5. Step 5: Solve for x
    x = 935,773.70/933.31
  6. Step 6: Final answer
    x = 1,002.64

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