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Finding the Fourth Proportional to 878.92, 1,312.42 and 786.58

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Solution

The fourth proportional to 878.92, 1,312.42 and 786.58 is: 1,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.92 : 1,312.42 = 786.58 : x
  2. Step 2: Convert to fraction form
    878.92/1,312.42 = 786.58/x
  3. Step 3: Cross multiply
    878.92x = 1,312.42 × 786.58
  4. Step 4: Simplify right side
    878.92x = 1,032,323.32
  5. Step 5: Solve for x
    x = 1,032,323.32/878.92
  6. Step 6: Final answer
    x = 1,174.54

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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.