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Finding the Fourth Proportional to 741.50, 1,022.72 and 476.02

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Solution

The fourth proportional to 741.50, 1,022.72 and 476.02 is: 656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.50 : 1,022.72 = 476.02 : x
  2. Step 2: Convert to fraction form
    741.50/1,022.72 = 476.02/x
  3. Step 3: Cross multiply
    741.50x = 1,022.72 × 476.02
  4. Step 4: Simplify right side
    741.50x = 486,835.17
  5. Step 5: Solve for x
    x = 486,835.17/741.50
  6. Step 6: Final answer
    x = 656.55

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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.