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Finding the Fourth Proportional to 528.79, 792.69 and 285.34

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Solution

The fourth proportional to 528.79, 792.69 and 285.34 is: 427.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.79 : 792.69 = 285.34 : x
  2. Step 2: Convert to fraction form
    528.79/792.69 = 285.34/x
  3. Step 3: Cross multiply
    528.79x = 792.69 × 285.34
  4. Step 4: Simplify right side
    528.79x = 226,186.16
  5. Step 5: Solve for x
    x = 226,186.16/528.79
  6. Step 6: Final answer
    x = 427.74

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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.