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Finding the Fourth Proportional to 480.32, 716.88 and 441.84

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Solution

The fourth proportional to 480.32, 716.88 and 441.84 is: 659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.32 : 716.88 = 441.84 : x
  2. Step 2: Convert to fraction form
    480.32/716.88 = 441.84/x
  3. Step 3: Cross multiply
    480.32x = 716.88 × 441.84
  4. Step 4: Simplify right side
    480.32x = 316,746.26
  5. Step 5: Solve for x
    x = 316,746.26/480.32
  6. Step 6: Final answer
    x = 659.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.