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Finding the Fourth Proportional to 889.80, 1,227.87 and 491.44

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Solution

The fourth proportional to 889.80, 1,227.87 and 491.44 is: 678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.80 : 1,227.87 = 491.44 : x
  2. Step 2: Convert to fraction form
    889.80/1,227.87 = 491.44/x
  3. Step 3: Cross multiply
    889.80x = 1,227.87 × 491.44
  4. Step 4: Simplify right side
    889.80x = 603,424.43
  5. Step 5: Solve for x
    x = 603,424.43/889.80
  6. Step 6: Final answer
    x = 678.16

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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.