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Finding the Fourth Proportional to 2,332.21, 3,498.83 and 772.70

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Solution

The fourth proportional to 2,332.21, 3,498.83 and 772.70 is: 1,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.21 : 3,498.83 = 772.70 : x
  2. Step 2: Convert to fraction form
    2,332.21/3,498.83 = 772.70/x
  3. Step 3: Cross multiply
    2,332.21x = 3,498.83 × 772.70
  4. Step 4: Simplify right side
    2,332.21x = 2,703,545.94
  5. Step 5: Solve for x
    x = 2,703,545.94/2,332.21
  6. Step 6: Final answer
    x = 1,159.22

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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.