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Finding the Fourth Proportional to 742.21, 1,023.72 and 476.73

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Solution

The fourth proportional to 742.21, 1,023.72 and 476.73 is: 657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.21 : 1,023.72 = 476.73 : x
  2. Step 2: Convert to fraction form
    742.21/1,023.72 = 476.73/x
  3. Step 3: Cross multiply
    742.21x = 1,023.72 × 476.73
  4. Step 4: Simplify right side
    742.21x = 488,038.04
  5. Step 5: Solve for x
    x = 488,038.04/742.21
  6. Step 6: Final answer
    x = 657.55

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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.