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Finding the Fourth Proportional to 712.62, 982.64 and 463.48

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Solution

The fourth proportional to 712.62, 982.64 and 463.48 is: 639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.62 : 982.64 = 463.48 : x
  2. Step 2: Convert to fraction form
    712.62/982.64 = 463.48/x
  3. Step 3: Cross multiply
    712.62x = 982.64 × 463.48
  4. Step 4: Simplify right side
    712.62x = 455,435.40
  5. Step 5: Solve for x
    x = 455,435.40/712.62
  6. Step 6: Final answer
    x = 639.10

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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.