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Finding the Fourth Proportional to 539.90, 745.72 and 392.30

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Solution

The fourth proportional to 539.90, 745.72 and 392.30 is: 541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.90 : 745.72 = 392.30 : x
  2. Step 2: Convert to fraction form
    539.90/745.72 = 392.30/x
  3. Step 3: Cross multiply
    539.90x = 745.72 × 392.30
  4. Step 4: Simplify right side
    539.90x = 292,545.96
  5. Step 5: Solve for x
    x = 292,545.96/539.90
  6. Step 6: Final answer
    x = 541.85

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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.