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Finding the Fourth Proportional to 492.78, 734.82 and 424.74

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Solution

The fourth proportional to 492.78, 734.82 and 424.74 is: 633.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.78 : 734.82 = 424.74 : x
  2. Step 2: Convert to fraction form
    492.78/734.82 = 424.74/x
  3. Step 3: Cross multiply
    492.78x = 734.82 × 424.74
  4. Step 4: Simplify right side
    492.78x = 312,107.45
  5. Step 5: Solve for x
    x = 312,107.45/492.78
  6. Step 6: Final answer
    x = 633.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.