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Finding the Fourth Proportional to 712.52, 982.96 and 463.90

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Solution

The fourth proportional to 712.52, 982.96 and 463.90 is: 639.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.52 : 982.96 = 463.90 : x
  2. Step 2: Convert to fraction form
    712.52/982.96 = 463.90/x
  3. Step 3: Cross multiply
    712.52x = 982.96 × 463.90
  4. Step 4: Simplify right side
    712.52x = 455,995.14
  5. Step 5: Solve for x
    x = 455,995.14/712.52
  6. Step 6: Final answer
    x = 639.98

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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.