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Finding the Fourth Proportional to 878.78, 1,318.16 and 509.14

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Solution

The fourth proportional to 878.78, 1,318.16 and 509.14 is: 763.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.78 : 1,318.16 = 509.14 : x
  2. Step 2: Convert to fraction form
    878.78/1,318.16 = 509.14/x
  3. Step 3: Cross multiply
    878.78x = 1,318.16 × 509.14
  4. Step 4: Simplify right side
    878.78x = 671,118.85
  5. Step 5: Solve for x
    x = 671,118.85/878.78
  6. Step 6: Final answer
    x = 763.69

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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.