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Finding the Fourth Proportional to 745.20, 1,102.68 and 745.20

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Solution

The fourth proportional to 745.20, 1,102.68 and 745.20 is: 1,102.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.20 : 1,102.68 = 745.20 : x
  2. Step 2: Convert to fraction form
    745.20/1,102.68 = 745.20/x
  3. Step 3: Cross multiply
    745.20x = 1,102.68 × 745.20
  4. Step 4: Simplify right side
    745.20x = 821,717.14
  5. Step 5: Solve for x
    x = 821,717.14/745.20
  6. Step 6: Final answer
    x = 1,102.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.