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Finding the Fourth Proportional to 1,381.23, 1,906.11 and 751.77

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Solution

The fourth proportional to 1,381.23, 1,906.11 and 751.77 is: 1,037.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.23 : 1,906.11 = 751.77 : x
  2. Step 2: Convert to fraction form
    1,381.23/1,906.11 = 751.77/x
  3. Step 3: Cross multiply
    1,381.23x = 1,906.11 × 751.77
  4. Step 4: Simplify right side
    1,381.23x = 1,432,946.78
  5. Step 5: Solve for x
    x = 1,432,946.78/1,381.23
  6. Step 6: Final answer
    x = 1,037.45

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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.