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Finding the Fourth Proportional to 461.44, 689.38 and 365.32

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Solution

The fourth proportional to 461.44, 689.38 and 365.32 is: 545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.44 : 689.38 = 365.32 : x
  2. Step 2: Convert to fraction form
    461.44/689.38 = 365.32/x
  3. Step 3: Cross multiply
    461.44x = 689.38 × 365.32
  4. Step 4: Simplify right side
    461.44x = 251,844.30
  5. Step 5: Solve for x
    x = 251,844.30/461.44
  6. Step 6: Final answer
    x = 545.78

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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.