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Finding the Fourth Proportional to 712.53, 982.95 and 463.91

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Solution

The fourth proportional to 712.53, 982.95 and 463.91 is: 639.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.53 : 982.95 = 463.91 : x
  2. Step 2: Convert to fraction form
    712.53/982.95 = 463.91/x
  3. Step 3: Cross multiply
    712.53x = 982.95 × 463.91
  4. Step 4: Simplify right side
    712.53x = 455,995.42
  5. Step 5: Solve for x
    x = 455,995.42/712.53
  6. Step 6: Final answer
    x = 639.97

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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.