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Finding the Fourth Proportional to 878.38, 1,314.73 and 482.50

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Solution

The fourth proportional to 878.38, 1,314.73 and 482.50 is: 722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.38 : 1,314.73 = 482.50 : x
  2. Step 2: Convert to fraction form
    878.38/1,314.73 = 482.50/x
  3. Step 3: Cross multiply
    878.38x = 1,314.73 × 482.50
  4. Step 4: Simplify right side
    878.38x = 634,357.23
  5. Step 5: Solve for x
    x = 634,357.23/878.38
  6. Step 6: Final answer
    x = 722.19

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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.