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Finding the Fourth Proportional to 712.15, 982.75 and 428.74

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Solution

The fourth proportional to 712.15, 982.75 and 428.74 is: 591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.15 : 982.75 = 428.74 : x
  2. Step 2: Convert to fraction form
    712.15/982.75 = 428.74/x
  3. Step 3: Cross multiply
    712.15x = 982.75 × 428.74
  4. Step 4: Simplify right side
    712.15x = 421,344.24
  5. Step 5: Solve for x
    x = 421,344.24/712.15
  6. Step 6: Final answer
    x = 591.65

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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.