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Finding the Fourth Proportional to 553.40, 835.73 and 553.40

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Solution

The fourth proportional to 553.40, 835.73 and 553.40 is: 835.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.40 : 835.73 = 553.40 : x
  2. Step 2: Convert to fraction form
    553.40/835.73 = 553.40/x
  3. Step 3: Cross multiply
    553.40x = 835.73 × 553.40
  4. Step 4: Simplify right side
    553.40x = 462,492.98
  5. Step 5: Solve for x
    x = 462,492.98/553.40
  6. Step 6: Final answer
    x = 835.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.