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Finding the Fourth Proportional to 878.59, 1,316.53 and 553.29

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Solution

The fourth proportional to 878.59, 1,316.53 and 553.29 is: 829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.59 : 1,316.53 = 553.29 : x
  2. Step 2: Convert to fraction form
    878.59/1,316.53 = 553.29/x
  3. Step 3: Cross multiply
    878.59x = 1,316.53 × 553.29
  4. Step 4: Simplify right side
    878.59x = 728,422.88
  5. Step 5: Solve for x
    x = 728,422.88/878.59
  6. Step 6: Final answer
    x = 829.08

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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.