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Finding the Fourth Proportional to 528.81, 793.52 and 285.33

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Solution

The fourth proportional to 528.81, 793.52 and 285.33 is: 428.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.81 : 793.52 = 285.33 : x
  2. Step 2: Convert to fraction form
    528.81/793.52 = 285.33/x
  3. Step 3: Cross multiply
    528.81x = 793.52 × 285.33
  4. Step 4: Simplify right side
    528.81x = 226,415.06
  5. Step 5: Solve for x
    x = 226,415.06/528.81
  6. Step 6: Final answer
    x = 428.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.