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Finding the Fourth Proportional to 709.56, 978.48 and 611.28

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Solution

The fourth proportional to 709.56, 978.48 and 611.28 is: 842.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.56 : 978.48 = 611.28 : x
  2. Step 2: Convert to fraction form
    709.56/978.48 = 611.28/x
  3. Step 3: Cross multiply
    709.56x = 978.48 × 611.28
  4. Step 4: Simplify right side
    709.56x = 598,125.25
  5. Step 5: Solve for x
    x = 598,125.25/709.56
  6. Step 6: Final answer
    x = 842.95

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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.