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Finding the Fourth Proportional to 1,160.30, 1,601.50 and 717.94

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Solution

The fourth proportional to 1,160.30, 1,601.50 and 717.94 is: 990.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.30 : 1,601.50 = 717.94 : x
  2. Step 2: Convert to fraction form
    1,160.30/1,601.50 = 717.94/x
  3. Step 3: Cross multiply
    1,160.30x = 1,601.50 × 717.94
  4. Step 4: Simplify right side
    1,160.30x = 1,149,775.11
  5. Step 5: Solve for x
    x = 1,149,775.11/1,160.30
  6. Step 6: Final answer
    x = 990.93

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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.