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Finding the Fourth Proportional to 539.67, 745.10 and 415.10

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Solution

The fourth proportional to 539.67, 745.10 and 415.10 is: 573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.67 : 745.10 = 415.10 : x
  2. Step 2: Convert to fraction form
    539.67/745.10 = 415.10/x
  3. Step 3: Cross multiply
    539.67x = 745.10 × 415.10
  4. Step 4: Simplify right side
    539.67x = 309,291.01
  5. Step 5: Solve for x
    x = 309,291.01/539.67
  6. Step 6: Final answer
    x = 573.11

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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.