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Finding the Fourth Proportional to 552.30, 832.11 and 508.02

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Solution

The fourth proportional to 552.30, 832.11 and 508.02 is: 765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.30 : 832.11 = 508.02 : x
  2. Step 2: Convert to fraction form
    552.30/832.11 = 508.02/x
  3. Step 3: Cross multiply
    552.30x = 832.11 × 508.02
  4. Step 4: Simplify right side
    552.30x = 422,728.52
  5. Step 5: Solve for x
    x = 422,728.52/552.30
  6. Step 6: Final answer
    x = 765.40

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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.