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Finding the Fourth Proportional to 492.40, 734.48 and 415.84

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Solution

The fourth proportional to 492.40, 734.48 and 415.84 is: 620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.40 : 734.48 = 415.84 : x
  2. Step 2: Convert to fraction form
    492.40/734.48 = 415.84/x
  3. Step 3: Cross multiply
    492.40x = 734.48 × 415.84
  4. Step 4: Simplify right side
    492.40x = 305,426.16
  5. Step 5: Solve for x
    x = 305,426.16/492.40
  6. Step 6: Final answer
    x = 620.28

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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.