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Finding the Fourth Proportional to 739.74, 1,110.06 and 415.20

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Solution

The fourth proportional to 739.74, 1,110.06 and 415.20 is: 623.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.74 : 1,110.06 = 415.20 : x
  2. Step 2: Convert to fraction form
    739.74/1,110.06 = 415.20/x
  3. Step 3: Cross multiply
    739.74x = 1,110.06 × 415.20
  4. Step 4: Simplify right side
    739.74x = 460,896.91
  5. Step 5: Solve for x
    x = 460,896.91/739.74
  6. Step 6: Final answer
    x = 623.05

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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.