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Finding the Fourth Proportional to 576.10, 795.45 and 402.22

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Solution

The fourth proportional to 576.10, 795.45 and 402.22 is: 555.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.10 : 795.45 = 402.22 : x
  2. Step 2: Convert to fraction form
    576.10/795.45 = 402.22/x
  3. Step 3: Cross multiply
    576.10x = 795.45 × 402.22
  4. Step 4: Simplify right side
    576.10x = 319,945.90
  5. Step 5: Solve for x
    x = 319,945.90/576.10
  6. Step 6: Final answer
    x = 555.37

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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.