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Finding the Fourth Proportional to 708.75, 978.09 and 531.39

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Solution

The fourth proportional to 708.75, 978.09 and 531.39 is: 733.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.75 : 978.09 = 531.39 : x
  2. Step 2: Convert to fraction form
    708.75/978.09 = 531.39/x
  3. Step 3: Cross multiply
    708.75x = 978.09 × 531.39
  4. Step 4: Simplify right side
    708.75x = 519,747.25
  5. Step 5: Solve for x
    x = 519,747.25/708.75
  6. Step 6: Final answer
    x = 733.33

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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.