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Finding the Fourth Proportional to 540.57, 745.65 and 408

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Solution

The fourth proportional to 540.57, 745.65 and 408 is: 562.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.57 : 745.65 = 408 : x
  2. Step 2: Convert to fraction form
    540.57/745.65 = 408/x
  3. Step 3: Cross multiply
    540.57x = 745.65 × 408
  4. Step 4: Simplify right side
    540.57x = 304,225.20
  5. Step 5: Solve for x
    x = 304,225.20/540.57
  6. Step 6: Final answer
    x = 562.79

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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.