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Finding the Fourth Proportional to 1,337.37, 1,845.63 and 747.96

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Solution

The fourth proportional to 1,337.37, 1,845.63 and 747.96 is: 1,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.37 : 1,845.63 = 747.96 : x
  2. Step 2: Convert to fraction form
    1,337.37/1,845.63 = 747.96/x
  3. Step 3: Cross multiply
    1,337.37x = 1,845.63 × 747.96
  4. Step 4: Simplify right side
    1,337.37x = 1,380,457.41
  5. Step 5: Solve for x
    x = 1,380,457.41/1,337.37
  6. Step 6: Final answer
    x = 1,032.22

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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.