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Finding the Fourth Proportional to 878.48, 1,319.28 and 784.40

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Solution

The fourth proportional to 878.48, 1,319.28 and 784.40 is: 1,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.48 : 1,319.28 = 784.40 : x
  2. Step 2: Convert to fraction form
    878.48/1,319.28 = 784.40/x
  3. Step 3: Cross multiply
    878.48x = 1,319.28 × 784.40
  4. Step 4: Simplify right side
    878.48x = 1,034,843.23
  5. Step 5: Solve for x
    x = 1,034,843.23/878.48
  6. Step 6: Final answer
    x = 1,177.99

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Why These Related Problems?

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