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Finding the Fourth Proportional to 745.92, 1,117.78 and 540.92

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Solution

The fourth proportional to 745.92, 1,117.78 and 540.92 is: 810.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.92 : 1,117.78 = 540.92 : x
  2. Step 2: Convert to fraction form
    745.92/1,117.78 = 540.92/x
  3. Step 3: Cross multiply
    745.92x = 1,117.78 × 540.92
  4. Step 4: Simplify right side
    745.92x = 604,629.56
  5. Step 5: Solve for x
    x = 604,629.56/745.92
  6. Step 6: Final answer
    x = 810.58

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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.