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Finding the Fourth Proportional to 878.01, 1,210.74 and 789.87

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Solution

The fourth proportional to 878.01, 1,210.74 and 789.87 is: 1,089.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.01 : 1,210.74 = 789.87 : x
  2. Step 2: Convert to fraction form
    878.01/1,210.74 = 789.87/x
  3. Step 3: Cross multiply
    878.01x = 1,210.74 × 789.87
  4. Step 4: Simplify right side
    878.01x = 956,327.20
  5. Step 5: Solve for x
    x = 956,327.20/878.01
  6. Step 6: Final answer
    x = 1,089.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.