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Finding the Fourth Proportional to 660.60, 911.96 and 465.16

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Solution

The fourth proportional to 660.60, 911.96 and 465.16 is: 642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.60 : 911.96 = 465.16 : x
  2. Step 2: Convert to fraction form
    660.60/911.96 = 465.16/x
  3. Step 3: Cross multiply
    660.60x = 911.96 × 465.16
  4. Step 4: Simplify right side
    660.60x = 424,207.31
  5. Step 5: Solve for x
    x = 424,207.31/660.60
  6. Step 6: Final answer
    x = 642.15

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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.