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Finding the Fourth Proportional to 795.82, 1,183.64 and 787.18

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Solution

The fourth proportional to 795.82, 1,183.64 and 787.18 is: 1,170.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.82 : 1,183.64 = 787.18 : x
  2. Step 2: Convert to fraction form
    795.82/1,183.64 = 787.18/x
  3. Step 3: Cross multiply
    795.82x = 1,183.64 × 787.18
  4. Step 4: Simplify right side
    795.82x = 931,737.74
  5. Step 5: Solve for x
    x = 931,737.74/795.82
  6. Step 6: Final answer
    x = 1,170.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.