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Finding the Fourth Proportional to 1,336.46, 2,003.42 and 751.77

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Solution

The fourth proportional to 1,336.46, 2,003.42 and 751.77 is: 1,126.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.46 : 2,003.42 = 751.77 : x
  2. Step 2: Convert to fraction form
    1,336.46/2,003.42 = 751.77/x
  3. Step 3: Cross multiply
    1,336.46x = 2,003.42 × 751.77
  4. Step 4: Simplify right side
    1,336.46x = 1,506,107.29
  5. Step 5: Solve for x
    x = 1,506,107.29/1,336.46
  6. Step 6: Final answer
    x = 1,126.94

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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.