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Finding the Fourth Proportional to 511.72, 701.60 and 502.47

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Solution

The fourth proportional to 511.72, 701.60 and 502.47 is: 688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.72 : 701.60 = 502.47 : x
  2. Step 2: Convert to fraction form
    511.72/701.60 = 502.47/x
  3. Step 3: Cross multiply
    511.72x = 701.60 × 502.47
  4. Step 4: Simplify right side
    511.72x = 352,530.44
  5. Step 5: Solve for x
    x = 352,530.44/511.72
  6. Step 6: Final answer
    x = 688.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.