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Finding the Fourth Proportional to 878.63, 1,311.12 and 761.99

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Solution

The fourth proportional to 878.63, 1,311.12 and 761.99 is: 1,137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.63 : 1,311.12 = 761.99 : x
  2. Step 2: Convert to fraction form
    878.63/1,311.12 = 761.99/x
  3. Step 3: Cross multiply
    878.63x = 1,311.12 × 761.99
  4. Step 4: Simplify right side
    878.63x = 999,062.23
  5. Step 5: Solve for x
    x = 999,062.23/878.63
  6. Step 6: Final answer
    x = 1,137.07

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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.