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Finding the Fourth Proportional to 741.72, 1,113.26 and 376.76

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Solution

The fourth proportional to 741.72, 1,113.26 and 376.76 is: 565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.72 : 1,113.26 = 376.76 : x
  2. Step 2: Convert to fraction form
    741.72/1,113.26 = 376.76/x
  3. Step 3: Cross multiply
    741.72x = 1,113.26 × 376.76
  4. Step 4: Simplify right side
    741.72x = 419,431.84
  5. Step 5: Solve for x
    x = 419,431.84/741.72
  6. Step 6: Final answer
    x = 565.49

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.