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Finding the Fourth Proportional to 883.86, 1,319.32 and 819.61

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Solution

The fourth proportional to 883.86, 1,319.32 and 819.61 is: 1,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.86 : 1,319.32 = 819.61 : x
  2. Step 2: Convert to fraction form
    883.86/1,319.32 = 819.61/x
  3. Step 3: Cross multiply
    883.86x = 1,319.32 × 819.61
  4. Step 4: Simplify right side
    883.86x = 1,081,317.17
  5. Step 5: Solve for x
    x = 1,081,317.17/883.86
  6. Step 6: Final answer
    x = 1,223.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.