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Finding the Fourth Proportional to 553.41, 825.02 and 527.49

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Solution

The fourth proportional to 553.41, 825.02 and 527.49 is: 786.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.41 : 825.02 = 527.49 : x
  2. Step 2: Convert to fraction form
    553.41/825.02 = 527.49/x
  3. Step 3: Cross multiply
    553.41x = 825.02 × 527.49
  4. Step 4: Simplify right side
    553.41x = 435,189.80
  5. Step 5: Solve for x
    x = 435,189.80/553.41
  6. Step 6: Final answer
    x = 786.38

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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.