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Finding the Fourth Proportional to 540.10, 744.78 and 400.60

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Solution

The fourth proportional to 540.10, 744.78 and 400.60 is: 552.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.10 : 744.78 = 400.60 : x
  2. Step 2: Convert to fraction form
    540.10/744.78 = 400.60/x
  3. Step 3: Cross multiply
    540.10x = 744.78 × 400.60
  4. Step 4: Simplify right side
    540.10x = 298,358.87
  5. Step 5: Solve for x
    x = 298,358.87/540.10
  6. Step 6: Final answer
    x = 552.41

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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.