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Finding the Fourth Proportional to 712.24, 982.70 and 428.59

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Solution

The fourth proportional to 712.24, 982.70 and 428.59 is: 591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.24 : 982.70 = 428.59 : x
  2. Step 2: Convert to fraction form
    712.24/982.70 = 428.59/x
  3. Step 3: Cross multiply
    712.24x = 982.70 × 428.59
  4. Step 4: Simplify right side
    712.24x = 421,175.39
  5. Step 5: Solve for x
    x = 421,175.39/712.24
  6. Step 6: Final answer
    x = 591.34

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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.