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Finding the Fourth Proportional to 553.53, 825.21 and 527.61

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Solution

The fourth proportional to 553.53, 825.21 and 527.61 is: 786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.53 : 825.21 = 527.61 : x
  2. Step 2: Convert to fraction form
    553.53/825.21 = 527.61/x
  3. Step 3: Cross multiply
    553.53x = 825.21 × 527.61
  4. Step 4: Simplify right side
    553.53x = 435,389.05
  5. Step 5: Solve for x
    x = 435,389.05/553.53
  6. Step 6: Final answer
    x = 786.57

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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.