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Finding the Fourth Proportional to 706.47, 972.49 and 611.91

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Solution

The fourth proportional to 706.47, 972.49 and 611.91 is: 842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.47 : 972.49 = 611.91 : x
  2. Step 2: Convert to fraction form
    706.47/972.49 = 611.91/x
  3. Step 3: Cross multiply
    706.47x = 972.49 × 611.91
  4. Step 4: Simplify right side
    706.47x = 595,076.36
  5. Step 5: Solve for x
    x = 595,076.36/706.47
  6. Step 6: Final answer
    x = 842.32

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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.