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Finding the Fourth Proportional to 528.42, 792.32 and 391.43

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Solution

The fourth proportional to 528.42, 792.32 and 391.43 is: 586.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.42 : 792.32 = 391.43 : x
  2. Step 2: Convert to fraction form
    528.42/792.32 = 391.43/x
  3. Step 3: Cross multiply
    528.42x = 792.32 × 391.43
  4. Step 4: Simplify right side
    528.42x = 310,133.86
  5. Step 5: Solve for x
    x = 310,133.86/528.42
  6. Step 6: Final answer
    x = 586.91

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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.