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Finding the Fourth Proportional to 1,091.19, 1,503.50 and 741.27

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Solution

The fourth proportional to 1,091.19, 1,503.50 and 741.27 is: 1,021.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.19 : 1,503.50 = 741.27 : x
  2. Step 2: Convert to fraction form
    1,091.19/1,503.50 = 741.27/x
  3. Step 3: Cross multiply
    1,091.19x = 1,503.50 × 741.27
  4. Step 4: Simplify right side
    1,091.19x = 1,114,495.74
  5. Step 5: Solve for x
    x = 1,114,495.74/1,091.19
  6. Step 6: Final answer
    x = 1,021.36

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Half scale
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Double scale
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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.