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Finding the Fourth Proportional to 575.57, 866.49 and 524.54

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Solution

The fourth proportional to 575.57, 866.49 and 524.54 is: 789.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.57 : 866.49 = 524.54 : x
  2. Step 2: Convert to fraction form
    575.57/866.49 = 524.54/x
  3. Step 3: Cross multiply
    575.57x = 866.49 × 524.54
  4. Step 4: Simplify right side
    575.57x = 454,504.33
  5. Step 5: Solve for x
    x = 454,504.33/575.57
  6. Step 6: Final answer
    x = 789.67

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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.