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Finding the Fourth Proportional to 712.64, 984 and 480.24

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Solution

The fourth proportional to 712.64, 984 and 480.24 is: 663.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.64 : 984 = 480.24 : x
  2. Step 2: Convert to fraction form
    712.64/984 = 480.24/x
  3. Step 3: Cross multiply
    712.64x = 984 × 480.24
  4. Step 4: Simplify right side
    712.64x = 472,556.16
  5. Step 5: Solve for x
    x = 472,556.16/712.64
  6. Step 6: Final answer
    x = 663.11

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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.