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Finding the Fourth Proportional to 844.39, 1,267.77 and 433.82

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Solution

The fourth proportional to 844.39, 1,267.77 and 433.82 is: 651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.39 : 1,267.77 = 433.82 : x
  2. Step 2: Convert to fraction form
    844.39/1,267.77 = 433.82/x
  3. Step 3: Cross multiply
    844.39x = 1,267.77 × 433.82
  4. Step 4: Simplify right side
    844.39x = 549,981.81
  5. Step 5: Solve for x
    x = 549,981.81/844.39
  6. Step 6: Final answer
    x = 651.34

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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.