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Finding the Fourth Proportional to 540.28, 745.65 and 523.27

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Solution

The fourth proportional to 540.28, 745.65 and 523.27 is: 722.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.28 : 745.65 = 523.27 : x
  2. Step 2: Convert to fraction form
    540.28/745.65 = 523.27/x
  3. Step 3: Cross multiply
    540.28x = 745.65 × 523.27
  4. Step 4: Simplify right side
    540.28x = 390,176.28
  5. Step 5: Solve for x
    x = 390,176.28/540.28
  6. Step 6: Final answer
    x = 722.17

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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.