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Finding the Fourth Proportional to 611.34, 842.82 and 592.22

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Solution

The fourth proportional to 611.34, 842.82 and 592.22 is: 816.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.34 : 842.82 = 592.22 : x
  2. Step 2: Convert to fraction form
    611.34/842.82 = 592.22/x
  3. Step 3: Cross multiply
    611.34x = 842.82 × 592.22
  4. Step 4: Simplify right side
    611.34x = 499,130.65
  5. Step 5: Solve for x
    x = 499,130.65/611.34
  6. Step 6: Final answer
    x = 816.45

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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.