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Finding the Fourth Proportional to 611.80, 839.86 and 562.59

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Solution

The fourth proportional to 611.80, 839.86 and 562.59 is: 772.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.80 : 839.86 = 562.59 : x
  2. Step 2: Convert to fraction form
    611.80/839.86 = 562.59/x
  3. Step 3: Cross multiply
    611.80x = 839.86 × 562.59
  4. Step 4: Simplify right side
    611.80x = 472,495.43
  5. Step 5: Solve for x
    x = 472,495.43/611.80
  6. Step 6: Final answer
    x = 772.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.