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Finding the Fourth Proportional to 889.60, 1,226.92 and 557.40

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Solution

The fourth proportional to 889.60, 1,226.92 and 557.40 is: 768.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.60 : 1,226.92 = 557.40 : x
  2. Step 2: Convert to fraction form
    889.60/1,226.92 = 557.40/x
  3. Step 3: Cross multiply
    889.60x = 1,226.92 × 557.40
  4. Step 4: Simplify right side
    889.60x = 683,885.21
  5. Step 5: Solve for x
    x = 683,885.21/889.60
  6. Step 6: Final answer
    x = 768.76

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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.