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Finding the Fourth Proportional to 1,378.49, 1,902.28 and 749.01

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Solution

The fourth proportional to 1,378.49, 1,902.28 and 749.01 is: 1,033.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.49 : 1,902.28 = 749.01 : x
  2. Step 2: Convert to fraction form
    1,378.49/1,902.28 = 749.01/x
  3. Step 3: Cross multiply
    1,378.49x = 1,902.28 × 749.01
  4. Step 4: Simplify right side
    1,378.49x = 1,424,823.00
  5. Step 5: Solve for x
    x = 1,424,823.00/1,378.49
  6. Step 6: Final answer
    x = 1,033.61

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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.