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Finding the Fourth Proportional to 1,339.93, 1,849.09 and 750.43

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Solution

The fourth proportional to 1,339.93, 1,849.09 and 750.43 is: 1,035.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.93 : 1,849.09 = 750.43 : x
  2. Step 2: Convert to fraction form
    1,339.93/1,849.09 = 750.43/x
  3. Step 3: Cross multiply
    1,339.93x = 1,849.09 × 750.43
  4. Step 4: Simplify right side
    1,339.93x = 1,387,599.61
  5. Step 5: Solve for x
    x = 1,387,599.61/1,339.93
  6. Step 6: Final answer
    x = 1,035.58

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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.