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Finding the Fourth Proportional to 1,336.21, 1,843.80 and 746.77

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Solution

The fourth proportional to 1,336.21, 1,843.80 and 746.77 is: 1,030.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.21 : 1,843.80 = 746.77 : x
  2. Step 2: Convert to fraction form
    1,336.21/1,843.80 = 746.77/x
  3. Step 3: Cross multiply
    1,336.21x = 1,843.80 × 746.77
  4. Step 4: Simplify right side
    1,336.21x = 1,376,894.53
  5. Step 5: Solve for x
    x = 1,376,894.53/1,336.21
  6. Step 6: Final answer
    x = 1,030.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.