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Finding the Fourth Proportional to 745.14, 1,117.71 and 225.14

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Solution

The fourth proportional to 745.14, 1,117.71 and 225.14 is: 337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.14 : 1,117.71 = 225.14 : x
  2. Step 2: Convert to fraction form
    745.14/1,117.71 = 225.14/x
  3. Step 3: Cross multiply
    745.14x = 1,117.71 × 225.14
  4. Step 4: Simplify right side
    745.14x = 251,641.23
  5. Step 5: Solve for x
    x = 251,641.23/745.14
  6. Step 6: Final answer
    x = 337.71

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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.