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Finding the Fourth Proportional to 660.57, 911.59 and 428.10

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Solution

The fourth proportional to 660.57, 911.59 and 428.10 is: 590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.57 : 911.59 = 428.10 : x
  2. Step 2: Convert to fraction form
    660.57/911.59 = 428.10/x
  3. Step 3: Cross multiply
    660.57x = 911.59 × 428.10
  4. Step 4: Simplify right side
    660.57x = 390,251.68
  5. Step 5: Solve for x
    x = 390,251.68/660.57
  6. Step 6: Final answer
    x = 590.78

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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.