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Finding the Fourth Proportional to 889.28, 1,226.74 and 557.10

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Solution

The fourth proportional to 889.28, 1,226.74 and 557.10 is: 768.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.28 : 1,226.74 = 557.10 : x
  2. Step 2: Convert to fraction form
    889.28/1,226.74 = 557.10/x
  3. Step 3: Cross multiply
    889.28x = 1,226.74 × 557.10
  4. Step 4: Simplify right side
    889.28x = 683,416.85
  5. Step 5: Solve for x
    x = 683,416.85/889.28
  6. Step 6: Final answer
    x = 768.51

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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.