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Finding the Fourth Proportional to 492.84, 742.93 and 424.92

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Solution

The fourth proportional to 492.84, 742.93 and 424.92 is: 640.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.84 : 742.93 = 424.92 : x
  2. Step 2: Convert to fraction form
    492.84/742.93 = 424.92/x
  3. Step 3: Cross multiply
    492.84x = 742.93 × 424.92
  4. Step 4: Simplify right side
    492.84x = 315,685.82
  5. Step 5: Solve for x
    x = 315,685.82/492.84
  6. Step 6: Final answer
    x = 640.54

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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.