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Finding the Fourth Proportional to 745.96, 1,028.82 and 614.74

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Solution

The fourth proportional to 745.96, 1,028.82 and 614.74 is: 847.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.96 : 1,028.82 = 614.74 : x
  2. Step 2: Convert to fraction form
    745.96/1,028.82 = 614.74/x
  3. Step 3: Cross multiply
    745.96x = 1,028.82 × 614.74
  4. Step 4: Simplify right side
    745.96x = 632,456.81
  5. Step 5: Solve for x
    x = 632,456.81/745.96
  6. Step 6: Final answer
    x = 847.84

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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.