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Finding the Fourth Proportional to 878.95, 1,319.42 and 554.50

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Solution

The fourth proportional to 878.95, 1,319.42 and 554.50 is: 832.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.95 : 1,319.42 = 554.50 : x
  2. Step 2: Convert to fraction form
    878.95/1,319.42 = 554.50/x
  3. Step 3: Cross multiply
    878.95x = 1,319.42 × 554.50
  4. Step 4: Simplify right side
    878.95x = 731,618.39
  5. Step 5: Solve for x
    x = 731,618.39/878.95
  6. Step 6: Final answer
    x = 832.38

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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.