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Finding the Fourth Proportional to 712.45, 982.70 and 476.30

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Solution

The fourth proportional to 712.45, 982.70 and 476.30 is: 656.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.45 : 982.70 = 476.30 : x
  2. Step 2: Convert to fraction form
    712.45/982.70 = 476.30/x
  3. Step 3: Cross multiply
    712.45x = 982.70 × 476.30
  4. Step 4: Simplify right side
    712.45x = 468,061.87
  5. Step 5: Solve for x
    x = 468,061.87/712.45
  6. Step 6: Final answer
    x = 656.97

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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.