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Finding the Fourth Proportional to 540.84, 745.38 and 393.24

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Solution

The fourth proportional to 540.84, 745.38 and 393.24 is: 541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.84 : 745.38 = 393.24 : x
  2. Step 2: Convert to fraction form
    540.84/745.38 = 393.24/x
  3. Step 3: Cross multiply
    540.84x = 745.38 × 393.24
  4. Step 4: Simplify right side
    540.84x = 293,113.23
  5. Step 5: Solve for x
    x = 293,113.23/540.84
  6. Step 6: Final answer
    x = 541.96

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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.