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Finding the Fourth Proportional to 539.71, 745.16 and 415.15

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Solution

The fourth proportional to 539.71, 745.16 and 415.15 is: 573.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.71 : 745.16 = 415.15 : x
  2. Step 2: Convert to fraction form
    539.71/745.16 = 415.15/x
  3. Step 3: Cross multiply
    539.71x = 745.16 × 415.15
  4. Step 4: Simplify right side
    539.71x = 309,353.17
  5. Step 5: Solve for x
    x = 309,353.17/539.71
  6. Step 6: Final answer
    x = 573.18

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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.