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Finding the Fourth Proportional to 620.74, 857.82 and 502.48

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Solution

The fourth proportional to 620.74, 857.82 and 502.48 is: 694.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.74 : 857.82 = 502.48 : x
  2. Step 2: Convert to fraction form
    620.74/857.82 = 502.48/x
  3. Step 3: Cross multiply
    620.74x = 857.82 × 502.48
  4. Step 4: Simplify right side
    620.74x = 431,037.39
  5. Step 5: Solve for x
    x = 431,037.39/620.74
  6. Step 6: Final answer
    x = 694.39

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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.