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Finding the Fourth Proportional to 889.47, 1,227.42 and 491.14

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Solution

The fourth proportional to 889.47, 1,227.42 and 491.14 is: 677.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.47 : 1,227.42 = 491.14 : x
  2. Step 2: Convert to fraction form
    889.47/1,227.42 = 491.14/x
  3. Step 3: Cross multiply
    889.47x = 1,227.42 × 491.14
  4. Step 4: Simplify right side
    889.47x = 602,835.06
  5. Step 5: Solve for x
    x = 602,835.06/889.47
  6. Step 6: Final answer
    x = 677.75

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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.