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Finding the Fourth Proportional to 465.60, 643.20 and 416.64

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Solution

The fourth proportional to 465.60, 643.20 and 416.64 is: 575.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.60 : 643.20 = 416.64 : x
  2. Step 2: Convert to fraction form
    465.60/643.20 = 416.64/x
  3. Step 3: Cross multiply
    465.60x = 643.20 × 416.64
  4. Step 4: Simplify right side
    465.60x = 267,982.85
  5. Step 5: Solve for x
    x = 267,982.85/465.60
  6. Step 6: Final answer
    x = 575.56

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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.