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Finding the Fourth Proportional to 540.54, 746.04 and 393.60

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Solution

The fourth proportional to 540.54, 746.04 and 393.60 is: 543.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.54 : 746.04 = 393.60 : x
  2. Step 2: Convert to fraction form
    540.54/746.04 = 393.60/x
  3. Step 3: Cross multiply
    540.54x = 746.04 × 393.60
  4. Step 4: Simplify right side
    540.54x = 293,641.34
  5. Step 5: Solve for x
    x = 293,641.34/540.54
  6. Step 6: Final answer
    x = 543.24

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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.