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Finding the Fourth Proportional to 1,091.58, 1,637.08 and 744.85

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Solution

The fourth proportional to 1,091.58, 1,637.08 and 744.85 is: 1,117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.58 : 1,637.08 = 744.85 : x
  2. Step 2: Convert to fraction form
    1,091.58/1,637.08 = 744.85/x
  3. Step 3: Cross multiply
    1,091.58x = 1,637.08 × 744.85
  4. Step 4: Simplify right side
    1,091.58x = 1,219,382.02
  5. Step 5: Solve for x
    x = 1,219,382.02/1,091.58
  6. Step 6: Final answer
    x = 1,117.08

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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.