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Finding the Fourth Proportional to 562.26, 839.37 and 558.38

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Solution

The fourth proportional to 562.26, 839.37 and 558.38 is: 833.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.26 : 839.37 = 558.38 : x
  2. Step 2: Convert to fraction form
    562.26/839.37 = 558.38/x
  3. Step 3: Cross multiply
    562.26x = 839.37 × 558.38
  4. Step 4: Simplify right side
    562.26x = 468,684.63
  5. Step 5: Solve for x
    x = 468,684.63/562.26
  6. Step 6: Final answer
    x = 833.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.