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Finding the Fourth Proportional to 562.78, 776.06 and 438.22

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Solution

The fourth proportional to 562.78, 776.06 and 438.22 is: 604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.78 : 776.06 = 438.22 : x
  2. Step 2: Convert to fraction form
    562.78/776.06 = 438.22/x
  3. Step 3: Cross multiply
    562.78x = 776.06 × 438.22
  4. Step 4: Simplify right side
    562.78x = 340,085.01
  5. Step 5: Solve for x
    x = 340,085.01/562.78
  6. Step 6: Final answer
    x = 604.29

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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.