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Finding the Fourth Proportional to 680.50, 940.31 and 503.21

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Solution

The fourth proportional to 680.50, 940.31 and 503.21 is: 695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.50 : 940.31 = 503.21 : x
  2. Step 2: Convert to fraction form
    680.50/940.31 = 503.21/x
  3. Step 3: Cross multiply
    680.50x = 940.31 × 503.21
  4. Step 4: Simplify right side
    680.50x = 473,175.12
  5. Step 5: Solve for x
    x = 473,175.12/680.50
  6. Step 6: Final answer
    x = 695.33

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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.