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Finding the Fourth Proportional to 1,171.84, 1,755.84 and 845.68

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Solution

The fourth proportional to 1,171.84, 1,755.84 and 845.68 is: 1,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.84 : 1,755.84 = 845.68 : x
  2. Step 2: Convert to fraction form
    1,171.84/1,755.84 = 845.68/x
  3. Step 3: Cross multiply
    1,171.84x = 1,755.84 × 845.68
  4. Step 4: Simplify right side
    1,171.84x = 1,484,878.77
  5. Step 5: Solve for x
    x = 1,484,878.77/1,171.84
  6. Step 6: Final answer
    x = 1,267.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.