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Finding the Fourth Proportional to 2,284.66, 3,426.95 and 745.66

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Solution

The fourth proportional to 2,284.66, 3,426.95 and 745.66 is: 1,118.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.66 : 3,426.95 = 745.66 : x
  2. Step 2: Convert to fraction form
    2,284.66/3,426.95 = 745.66/x
  3. Step 3: Cross multiply
    2,284.66x = 3,426.95 × 745.66
  4. Step 4: Simplify right side
    2,284.66x = 2,555,332.83
  5. Step 5: Solve for x
    x = 2,555,332.83/2,284.66
  6. Step 6: Final answer
    x = 1,118.48

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1.5x scale

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.