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Finding the Fourth Proportional to 741.57, 1,022.96 and 492.76

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Solution

The fourth proportional to 741.57, 1,022.96 and 492.76 is: 679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.57 : 1,022.96 = 492.76 : x
  2. Step 2: Convert to fraction form
    741.57/1,022.96 = 492.76/x
  3. Step 3: Cross multiply
    741.57x = 1,022.96 × 492.76
  4. Step 4: Simplify right side
    741.57x = 504,073.77
  5. Step 5: Solve for x
    x = 504,073.77/741.57
  6. Step 6: Final answer
    x = 679.74

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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.