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Finding the Fourth Proportional to 616.54, 851.24 and 577.32

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Solution

The fourth proportional to 616.54, 851.24 and 577.32 is: 797.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.54 : 851.24 = 577.32 : x
  2. Step 2: Convert to fraction form
    616.54/851.24 = 577.32/x
  3. Step 3: Cross multiply
    616.54x = 851.24 × 577.32
  4. Step 4: Simplify right side
    616.54x = 491,437.88
  5. Step 5: Solve for x
    x = 491,437.88/616.54
  6. Step 6: Final answer
    x = 797.09

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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.