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Finding the Fourth Proportional to 741.97, 1,023.48 and 479.99

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Solution

The fourth proportional to 741.97, 1,023.48 and 479.99 is: 662.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.97 : 1,023.48 = 479.99 : x
  2. Step 2: Convert to fraction form
    741.97/1,023.48 = 479.99/x
  3. Step 3: Cross multiply
    741.97x = 1,023.48 × 479.99
  4. Step 4: Simplify right side
    741.97x = 491,260.17
  5. Step 5: Solve for x
    x = 491,260.17/741.97
  6. Step 6: Final answer
    x = 662.10

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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.