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Finding the Fourth Proportional to 711.53, 1,072.78 and 698.78

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Solution

The fourth proportional to 711.53, 1,072.78 and 698.78 is: 1,053.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.53 : 1,072.78 = 698.78 : x
  2. Step 2: Convert to fraction form
    711.53/1,072.78 = 698.78/x
  3. Step 3: Cross multiply
    711.53x = 1,072.78 × 698.78
  4. Step 4: Simplify right side
    711.53x = 749,630.30
  5. Step 5: Solve for x
    x = 749,630.30/711.53
  6. Step 6: Final answer
    x = 1,053.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.