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Finding the Fourth Proportional to 745.17, 1,116.31 and 398.39

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Solution

The fourth proportional to 745.17, 1,116.31 and 398.39 is: 596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.17 : 1,116.31 = 398.39 : x
  2. Step 2: Convert to fraction form
    745.17/1,116.31 = 398.39/x
  3. Step 3: Cross multiply
    745.17x = 1,116.31 × 398.39
  4. Step 4: Simplify right side
    745.17x = 444,726.74
  5. Step 5: Solve for x
    x = 444,726.74/745.17
  6. Step 6: Final answer
    x = 596.81

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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.