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Finding the Fourth Proportional to 712.80, 984.08 and 480.16

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Solution

The fourth proportional to 712.80, 984.08 and 480.16 is: 662.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.80 : 984.08 = 480.16 : x
  2. Step 2: Convert to fraction form
    712.80/984.08 = 480.16/x
  3. Step 3: Cross multiply
    712.80x = 984.08 × 480.16
  4. Step 4: Simplify right side
    712.80x = 472,515.85
  5. Step 5: Solve for x
    x = 472,515.85/712.80
  6. Step 6: Final answer
    x = 662.90

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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.