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Finding the Fourth Proportional to 680.04, 938.10 and 400.23

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Solution

The fourth proportional to 680.04, 938.10 and 400.23 is: 552.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.04 : 938.10 = 400.23 : x
  2. Step 2: Convert to fraction form
    680.04/938.10 = 400.23/x
  3. Step 3: Cross multiply
    680.04x = 938.10 × 400.23
  4. Step 4: Simplify right side
    680.04x = 375,455.76
  5. Step 5: Solve for x
    x = 375,455.76/680.04
  6. Step 6: Final answer
    x = 552.11

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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.