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Finding the Fourth Proportional to 885.76, 1,218.56 and 839.68

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Solution

The fourth proportional to 885.76, 1,218.56 and 839.68 is: 1,155.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.76 : 1,218.56 = 839.68 : x
  2. Step 2: Convert to fraction form
    885.76/1,218.56 = 839.68/x
  3. Step 3: Cross multiply
    885.76x = 1,218.56 × 839.68
  4. Step 4: Simplify right side
    885.76x = 1,023,200.46
  5. Step 5: Solve for x
    x = 1,023,200.46/885.76
  6. Step 6: Final answer
    x = 1,155.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.