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Finding the Fourth Proportional to 889.54, 1,227.57 and 491.20

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Solution

The fourth proportional to 889.54, 1,227.57 and 491.20 is: 677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.54 : 1,227.57 = 491.20 : x
  2. Step 2: Convert to fraction form
    889.54/1,227.57 = 491.20/x
  3. Step 3: Cross multiply
    889.54x = 1,227.57 × 491.20
  4. Step 4: Simplify right side
    889.54x = 602,982.38
  5. Step 5: Solve for x
    x = 602,982.38/889.54
  6. Step 6: Final answer
    x = 677.86

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Double scale
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1.5x scale

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.