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Finding the Fourth Proportional to 553.90, 826.56 and 492.55

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Solution

The fourth proportional to 553.90, 826.56 and 492.55 is: 735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.90 : 826.56 = 492.55 : x
  2. Step 2: Convert to fraction form
    553.90/826.56 = 492.55/x
  3. Step 3: Cross multiply
    553.90x = 826.56 × 492.55
  4. Step 4: Simplify right side
    553.90x = 407,122.13
  5. Step 5: Solve for x
    x = 407,122.13/553.90
  6. Step 6: Final answer
    x = 735.01

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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.