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Finding the Fourth Proportional to 712.72, 982.12 and 463.76

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Solution

The fourth proportional to 712.72, 982.12 and 463.76 is: 639.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.72 : 982.12 = 463.76 : x
  2. Step 2: Convert to fraction form
    712.72/982.12 = 463.76/x
  3. Step 3: Cross multiply
    712.72x = 982.12 × 463.76
  4. Step 4: Simplify right side
    712.72x = 455,467.97
  5. Step 5: Solve for x
    x = 455,467.97/712.72
  6. Step 6: Final answer
    x = 639.06

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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.