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Finding the Fourth Proportional to 575.28, 866.05 and 524.26

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Solution

The fourth proportional to 575.28, 866.05 and 524.26 is: 789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.28 : 866.05 = 524.26 : x
  2. Step 2: Convert to fraction form
    575.28/866.05 = 524.26/x
  3. Step 3: Cross multiply
    575.28x = 866.05 × 524.26
  4. Step 4: Simplify right side
    575.28x = 454,035.37
  5. Step 5: Solve for x
    x = 454,035.37/575.28
  6. Step 6: Final answer
    x = 789.24

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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.