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Finding the Fourth Proportional to 889.52, 1,227.47 and 491.18

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Solution

The fourth proportional to 889.52, 1,227.47 and 491.18 is: 677.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.52 : 1,227.47 = 491.18 : x
  2. Step 2: Convert to fraction form
    889.52/1,227.47 = 491.18/x
  3. Step 3: Cross multiply
    889.52x = 1,227.47 × 491.18
  4. Step 4: Simplify right side
    889.52x = 602,900.12
  5. Step 5: Solve for x
    x = 602,900.12/889.52
  6. Step 6: Final answer
    x = 677.79

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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.