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Finding the Fourth Proportional to 889.28, 1,227.59 and 557.90

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Solution

The fourth proportional to 889.28, 1,227.59 and 557.90 is: 770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.28 : 1,227.59 = 557.90 : x
  2. Step 2: Convert to fraction form
    889.28/1,227.59 = 557.90/x
  3. Step 3: Cross multiply
    889.28x = 1,227.59 × 557.90
  4. Step 4: Simplify right side
    889.28x = 684,872.46
  5. Step 5: Solve for x
    x = 684,872.46/889.28
  6. Step 6: Final answer
    x = 770.14

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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.