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Finding the Fourth Proportional to 546.75, 815.81 and 492.21

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Solution

The fourth proportional to 546.75, 815.81 and 492.21 is: 734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.75 : 815.81 = 492.21 : x
  2. Step 2: Convert to fraction form
    546.75/815.81 = 492.21/x
  3. Step 3: Cross multiply
    546.75x = 815.81 × 492.21
  4. Step 4: Simplify right side
    546.75x = 401,547.38
  5. Step 5: Solve for x
    x = 401,547.38/546.75
  6. Step 6: Final answer
    x = 734.43

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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.