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Finding the Fourth Proportional to 605.18, 838.54 and 592.22

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Solution

The fourth proportional to 605.18, 838.54 and 592.22 is: 820.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.18 : 838.54 = 592.22 : x
  2. Step 2: Convert to fraction form
    605.18/838.54 = 592.22/x
  3. Step 3: Cross multiply
    605.18x = 838.54 × 592.22
  4. Step 4: Simplify right side
    605.18x = 496,600.16
  5. Step 5: Solve for x
    x = 496,600.16/605.18
  6. Step 6: Final answer
    x = 820.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.