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Finding the Fourth Proportional to 712.89, 982.45 and 570.94

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Solution

The fourth proportional to 712.89, 982.45 and 570.94 is: 786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.89 : 982.45 = 570.94 : x
  2. Step 2: Convert to fraction form
    712.89/982.45 = 570.94/x
  3. Step 3: Cross multiply
    712.89x = 982.45 × 570.94
  4. Step 4: Simplify right side
    712.89x = 560,915.05
  5. Step 5: Solve for x
    x = 560,915.05/712.89
  6. Step 6: Final answer
    x = 786.82

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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.