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Finding the Fourth Proportional to 745.92, 1,113.44 and 697.86

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Solution

The fourth proportional to 745.92, 1,113.44 and 697.86 is: 1,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.92 : 1,113.44 = 697.86 : x
  2. Step 2: Convert to fraction form
    745.92/1,113.44 = 697.86/x
  3. Step 3: Cross multiply
    745.92x = 1,113.44 × 697.86
  4. Step 4: Simplify right side
    745.92x = 777,021.75
  5. Step 5: Solve for x
    x = 777,021.75/745.92
  6. Step 6: Final answer
    x = 1,041.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.