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Finding the Fourth Proportional to 553.65, 826.18 and 492.29

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Solution

The fourth proportional to 553.65, 826.18 and 492.29 is: 734.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.65 : 826.18 = 492.29 : x
  2. Step 2: Convert to fraction form
    553.65/826.18 = 492.29/x
  3. Step 3: Cross multiply
    553.65x = 826.18 × 492.29
  4. Step 4: Simplify right side
    553.65x = 406,720.15
  5. Step 5: Solve for x
    x = 406,720.15/553.65
  6. Step 6: Final answer
    x = 734.62

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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.