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Finding the Fourth Proportional to 1,337.09, 1,845.23 and 747.68

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Solution

The fourth proportional to 1,337.09, 1,845.23 and 747.68 is: 1,031.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.09 : 1,845.23 = 747.68 : x
  2. Step 2: Convert to fraction form
    1,337.09/1,845.23 = 747.68/x
  3. Step 3: Cross multiply
    1,337.09x = 1,845.23 × 747.68
  4. Step 4: Simplify right side
    1,337.09x = 1,379,628.60
  5. Step 5: Solve for x
    x = 1,379,628.60/1,337.09
  6. Step 6: Final answer
    x = 1,031.82

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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.