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Finding the Fourth Proportional to 1,378.77, 1,902.74 and 749.33

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Solution

The fourth proportional to 1,378.77, 1,902.74 and 749.33 is: 1,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.77 : 1,902.74 = 749.33 : x
  2. Step 2: Convert to fraction form
    1,378.77/1,902.74 = 749.33/x
  3. Step 3: Cross multiply
    1,378.77x = 1,902.74 × 749.33
  4. Step 4: Simplify right side
    1,378.77x = 1,425,781.17
  5. Step 5: Solve for x
    x = 1,425,781.17/1,378.77
  6. Step 6: Final answer
    x = 1,034.10

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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.