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Finding the Fourth Proportional to 741.80, 1,113.66 and 453.64

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Solution

The fourth proportional to 741.80, 1,113.66 and 453.64 is: 681.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.80 : 1,113.66 = 453.64 : x
  2. Step 2: Convert to fraction form
    741.80/1,113.66 = 453.64/x
  3. Step 3: Cross multiply
    741.80x = 1,113.66 × 453.64
  4. Step 4: Simplify right side
    741.80x = 505,200.72
  5. Step 5: Solve for x
    x = 505,200.72/741.80
  6. Step 6: Final answer
    x = 681.05

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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.