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Finding the Fourth Proportional to 492.67, 742.33 and 407.89

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Solution

The fourth proportional to 492.67, 742.33 and 407.89 is: 614.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.67 : 742.33 = 407.89 : x
  2. Step 2: Convert to fraction form
    492.67/742.33 = 407.89/x
  3. Step 3: Cross multiply
    492.67x = 742.33 × 407.89
  4. Step 4: Simplify right side
    492.67x = 302,788.98
  5. Step 5: Solve for x
    x = 302,788.98/492.67
  6. Step 6: Final answer
    x = 614.59

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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.