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Finding the Fourth Proportional to 811.56, 1,217.34 and 741.09

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Solution

The fourth proportional to 811.56, 1,217.34 and 741.09 is: 1,111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.56 : 1,217.34 = 741.09 : x
  2. Step 2: Convert to fraction form
    811.56/1,217.34 = 741.09/x
  3. Step 3: Cross multiply
    811.56x = 1,217.34 × 741.09
  4. Step 4: Simplify right side
    811.56x = 902,158.50
  5. Step 5: Solve for x
    x = 902,158.50/811.56
  6. Step 6: Final answer
    x = 1,111.64

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Half scale
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Double scale
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Similar ratio
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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.