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Finding the Fourth Proportional to 660.10, 911.36 and 424.15

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Solution

The fourth proportional to 660.10, 911.36 and 424.15 is: 585.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.10 : 911.36 = 424.15 : x
  2. Step 2: Convert to fraction form
    660.10/911.36 = 424.15/x
  3. Step 3: Cross multiply
    660.10x = 911.36 × 424.15
  4. Step 4: Simplify right side
    660.10x = 386,555.54
  5. Step 5: Solve for x
    x = 386,555.54/660.10
  6. Step 6: Final answer
    x = 585.60

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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.