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Finding the Fourth Proportional to 885.20, 1,320.10 and 875.60

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Solution

The fourth proportional to 885.20, 1,320.10 and 875.60 is: 1,305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.20 : 1,320.10 = 875.60 : x
  2. Step 2: Convert to fraction form
    885.20/1,320.10 = 875.60/x
  3. Step 3: Cross multiply
    885.20x = 1,320.10 × 875.60
  4. Step 4: Simplify right side
    885.20x = 1,155,879.56
  5. Step 5: Solve for x
    x = 1,155,879.56/885.20
  6. Step 6: Final answer
    x = 1,305.78

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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.