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Finding the Fourth Proportional to 739.41, 1,109.06 and 277.15

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Solution

The fourth proportional to 739.41, 1,109.06 and 277.15 is: 415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.41 : 1,109.06 = 277.15 : x
  2. Step 2: Convert to fraction form
    739.41/1,109.06 = 277.15/x
  3. Step 3: Cross multiply
    739.41x = 1,109.06 × 277.15
  4. Step 4: Simplify right side
    739.41x = 307,372.34
  5. Step 5: Solve for x
    x = 307,372.34/739.41
  6. Step 6: Final answer
    x = 415.70

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Double scale
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1.5x scale

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.