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Finding the Fourth Proportional to 709.45, 978.70 and 611.03

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Solution

The fourth proportional to 709.45, 978.70 and 611.03 is: 842.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.45 : 978.70 = 611.03 : x
  2. Step 2: Convert to fraction form
    709.45/978.70 = 611.03/x
  3. Step 3: Cross multiply
    709.45x = 978.70 × 611.03
  4. Step 4: Simplify right side
    709.45x = 598,012.01
  5. Step 5: Solve for x
    x = 598,012.01/709.45
  6. Step 6: Final answer
    x = 842.93

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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.