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Finding the Fourth Proportional to 739.74, 1,106.85 and 415.32

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Solution

The fourth proportional to 739.74, 1,106.85 and 415.32 is: 621.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.74 : 1,106.85 = 415.32 : x
  2. Step 2: Convert to fraction form
    739.74/1,106.85 = 415.32/x
  3. Step 3: Cross multiply
    739.74x = 1,106.85 × 415.32
  4. Step 4: Simplify right side
    739.74x = 459,696.94
  5. Step 5: Solve for x
    x = 459,696.94/739.74
  6. Step 6: Final answer
    x = 621.43

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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.