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Finding the Fourth Proportional to 885.48, 1,320.42 and 823.92

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Solution

The fourth proportional to 885.48, 1,320.42 and 823.92 is: 1,228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.48 : 1,320.42 = 823.92 : x
  2. Step 2: Convert to fraction form
    885.48/1,320.42 = 823.92/x
  3. Step 3: Cross multiply
    885.48x = 1,320.42 × 823.92
  4. Step 4: Simplify right side
    885.48x = 1,087,920.45
  5. Step 5: Solve for x
    x = 1,087,920.45/885.48
  6. Step 6: Final answer
    x = 1,228.62

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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.