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Finding the Fourth Proportional to 739.54, 1,110.12 and 415.54

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Solution

The fourth proportional to 739.54, 1,110.12 and 415.54 is: 623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.54 : 1,110.12 = 415.54 : x
  2. Step 2: Convert to fraction form
    739.54/1,110.12 = 415.54/x
  3. Step 3: Cross multiply
    739.54x = 1,110.12 × 415.54
  4. Step 4: Simplify right side
    739.54x = 461,299.26
  5. Step 5: Solve for x
    x = 461,299.26/739.54
  6. Step 6: Final answer
    x = 623.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.