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Finding the Fourth Proportional to 497.14, 745.71 and 415.22

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Solution

The fourth proportional to 497.14, 745.71 and 415.22 is: 622.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.14 : 745.71 = 415.22 : x
  2. Step 2: Convert to fraction form
    497.14/745.71 = 415.22/x
  3. Step 3: Cross multiply
    497.14x = 745.71 × 415.22
  4. Step 4: Simplify right side
    497.14x = 309,633.71
  5. Step 5: Solve for x
    x = 309,633.71/497.14
  6. Step 6: Final answer
    x = 622.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.