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Finding the Fourth Proportional to 878.99, 1,317.43 and 409.83

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Solution

The fourth proportional to 878.99, 1,317.43 and 409.83 is: 614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.99 : 1,317.43 = 409.83 : x
  2. Step 2: Convert to fraction form
    878.99/1,317.43 = 409.83/x
  3. Step 3: Cross multiply
    878.99x = 1,317.43 × 409.83
  4. Step 4: Simplify right side
    878.99x = 539,922.34
  5. Step 5: Solve for x
    x = 539,922.34/878.99
  6. Step 6: Final answer
    x = 614.25

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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.