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Finding the Fourth Proportional to 712.35, 982.68 and 463.89

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Solution

The fourth proportional to 712.35, 982.68 and 463.89 is: 639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.35 : 982.68 = 463.89 : x
  2. Step 2: Convert to fraction form
    712.35/982.68 = 463.89/x
  3. Step 3: Cross multiply
    712.35x = 982.68 × 463.89
  4. Step 4: Simplify right side
    712.35x = 455,855.43
  5. Step 5: Solve for x
    x = 455,855.43/712.35
  6. Step 6: Final answer
    x = 639.93

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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.