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Finding the Fourth Proportional to 492.42, 742.01 and 407.66

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Solution

The fourth proportional to 492.42, 742.01 and 407.66 is: 614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.42 : 742.01 = 407.66 : x
  2. Step 2: Convert to fraction form
    492.42/742.01 = 407.66/x
  3. Step 3: Cross multiply
    492.42x = 742.01 × 407.66
  4. Step 4: Simplify right side
    492.42x = 302,486.43
  5. Step 5: Solve for x
    x = 302,486.43/492.42
  6. Step 6: Final answer
    x = 614.28

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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.