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Finding the Fourth Proportional to 885.23, 1,328.91 and 588.97

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Solution

The fourth proportional to 885.23, 1,328.91 and 588.97 is: 884.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.23 : 1,328.91 = 588.97 : x
  2. Step 2: Convert to fraction form
    885.23/1,328.91 = 588.97/x
  3. Step 3: Cross multiply
    885.23x = 1,328.91 × 588.97
  4. Step 4: Simplify right side
    885.23x = 782,687.58
  5. Step 5: Solve for x
    x = 782,687.58/885.23
  6. Step 6: Final answer
    x = 884.16

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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.