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Finding the Fourth Proportional to 741.86, 1,113.24 and 255.25

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Solution

The fourth proportional to 741.86, 1,113.24 and 255.25 is: 383.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.86 : 1,113.24 = 255.25 : x
  2. Step 2: Convert to fraction form
    741.86/1,113.24 = 255.25/x
  3. Step 3: Cross multiply
    741.86x = 1,113.24 × 255.25
  4. Step 4: Simplify right side
    741.86x = 284,156.86
  5. Step 5: Solve for x
    x = 284,156.86/741.86
  6. Step 6: Final answer
    x = 383.03

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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.