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Finding the Fourth Proportional to 741.19, 1,023.13 and 492.43

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Solution

The fourth proportional to 741.19, 1,023.13 and 492.43 is: 679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.19 : 1,023.13 = 492.43 : x
  2. Step 2: Convert to fraction form
    741.19/1,023.13 = 492.43/x
  3. Step 3: Cross multiply
    741.19x = 1,023.13 × 492.43
  4. Step 4: Simplify right side
    741.19x = 503,814.79
  5. Step 5: Solve for x
    x = 503,814.79/741.19
  6. Step 6: Final answer
    x = 679.74

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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.