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Finding the Fourth Proportional to 480.32, 662.22 and 465.20

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Solution

The fourth proportional to 480.32, 662.22 and 465.20 is: 641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.32 : 662.22 = 465.20 : x
  2. Step 2: Convert to fraction form
    480.32/662.22 = 465.20/x
  3. Step 3: Cross multiply
    480.32x = 662.22 × 465.20
  4. Step 4: Simplify right side
    480.32x = 308,064.74
  5. Step 5: Solve for x
    x = 308,064.74/480.32
  6. Step 6: Final answer
    x = 641.37

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1.5x scale

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.