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Finding the Fourth Proportional to 1,091.08, 1,505.94 and 741.88

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Solution

The fourth proportional to 1,091.08, 1,505.94 and 741.88 is: 1,023.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.08 : 1,505.94 = 741.88 : x
  2. Step 2: Convert to fraction form
    1,091.08/1,505.94 = 741.88/x
  3. Step 3: Cross multiply
    1,091.08x = 1,505.94 × 741.88
  4. Step 4: Simplify right side
    1,091.08x = 1,117,226.77
  5. Step 5: Solve for x
    x = 1,117,226.77/1,091.08
  6. Step 6: Final answer
    x = 1,023.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.