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Finding the Fourth Proportional to 492.39, 741.93 and 407.61

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Solution

The fourth proportional to 492.39, 741.93 and 407.61 is: 614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.39 : 741.93 = 407.61 : x
  2. Step 2: Convert to fraction form
    492.39/741.93 = 407.61/x
  3. Step 3: Cross multiply
    492.39x = 741.93 × 407.61
  4. Step 4: Simplify right side
    492.39x = 302,418.09
  5. Step 5: Solve for x
    x = 302,418.09/492.39
  6. Step 6: Final answer
    x = 614.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.