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Finding the Fourth Proportional to 885.21, 1,329.30 and 665.84

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Solution

The fourth proportional to 885.21, 1,329.30 and 665.84 is: 999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.21 : 1,329.30 = 665.84 : x
  2. Step 2: Convert to fraction form
    885.21/1,329.30 = 665.84/x
  3. Step 3: Cross multiply
    885.21x = 1,329.30 × 665.84
  4. Step 4: Simplify right side
    885.21x = 885,094.47
  5. Step 5: Solve for x
    x = 885,094.47/885.21
  6. Step 6: Final answer
    x = 999.87

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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.