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Finding the Fourth Proportional to 680.02, 938.35 and 381.23

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Solution

The fourth proportional to 680.02, 938.35 and 381.23 is: 526.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.02 : 938.35 = 381.23 : x
  2. Step 2: Convert to fraction form
    680.02/938.35 = 381.23/x
  3. Step 3: Cross multiply
    680.02x = 938.35 × 381.23
  4. Step 4: Simplify right side
    680.02x = 357,722.48
  5. Step 5: Solve for x
    x = 357,722.48/680.02
  6. Step 6: Final answer
    x = 526.05

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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.