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Finding the Fourth Proportional to 1,182.50, 1,631.98 and 716.76

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Solution

The fourth proportional to 1,182.50, 1,631.98 and 716.76 is: 989.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.50 : 1,631.98 = 716.76 : x
  2. Step 2: Convert to fraction form
    1,182.50/1,631.98 = 716.76/x
  3. Step 3: Cross multiply
    1,182.50x = 1,631.98 × 716.76
  4. Step 4: Simplify right side
    1,182.50x = 1,169,737.98
  5. Step 5: Solve for x
    x = 1,169,737.98/1,182.50
  6. Step 6: Final answer
    x = 989.21

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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.