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Finding the Fourth Proportional to 544.92, 820.62 and 508.48

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Solution

The fourth proportional to 544.92, 820.62 and 508.48 is: 765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.92 : 820.62 = 508.48 : x
  2. Step 2: Convert to fraction form
    544.92/820.62 = 508.48/x
  3. Step 3: Cross multiply
    544.92x = 820.62 × 508.48
  4. Step 4: Simplify right side
    544.92x = 417,268.86
  5. Step 5: Solve for x
    x = 417,268.86/544.92
  6. Step 6: Final answer
    x = 765.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.