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Finding the Fourth Proportional to 711.62, 978.05 and 628.22

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Solution

The fourth proportional to 711.62, 978.05 and 628.22 is: 863.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.62 : 978.05 = 628.22 : x
  2. Step 2: Convert to fraction form
    711.62/978.05 = 628.22/x
  3. Step 3: Cross multiply
    711.62x = 978.05 × 628.22
  4. Step 4: Simplify right side
    711.62x = 614,427.25
  5. Step 5: Solve for x
    x = 614,427.25/711.62
  6. Step 6: Final answer
    x = 863.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.