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Finding the Fourth Proportional to 741.56, 1,022.81 and 475.76

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Solution

The fourth proportional to 741.56, 1,022.81 and 475.76 is: 656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.56 : 1,022.81 = 475.76 : x
  2. Step 2: Convert to fraction form
    741.56/1,022.81 = 475.76/x
  3. Step 3: Cross multiply
    741.56x = 1,022.81 × 475.76
  4. Step 4: Simplify right side
    741.56x = 486,612.26
  5. Step 5: Solve for x
    x = 486,612.26/741.56
  6. Step 6: Final answer
    x = 656.21

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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.