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Finding the Fourth Proportional to 588.96, 812 and 392.32

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Solution

The fourth proportional to 588.96, 812 and 392.32 is: 540.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.96 : 812 = 392.32 : x
  2. Step 2: Convert to fraction form
    588.96/812 = 392.32/x
  3. Step 3: Cross multiply
    588.96x = 812 × 392.32
  4. Step 4: Simplify right side
    588.96x = 318,563.84
  5. Step 5: Solve for x
    x = 318,563.84/588.96
  6. Step 6: Final answer
    x = 540.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.