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Finding the Fourth Proportional to 706.35, 972.34 and 611.80

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Solution

The fourth proportional to 706.35, 972.34 and 611.80 is: 842.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.35 : 972.34 = 611.80 : x
  2. Step 2: Convert to fraction form
    706.35/972.34 = 611.80/x
  3. Step 3: Cross multiply
    706.35x = 972.34 × 611.80
  4. Step 4: Simplify right side
    706.35x = 594,877.61
  5. Step 5: Solve for x
    x = 594,877.61/706.35
  6. Step 6: Final answer
    x = 842.19

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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.