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Finding the Fourth Proportional to 581.32, 869.82 and 337.96

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Solution

The fourth proportional to 581.32, 869.82 and 337.96 is: 505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.32 : 869.82 = 337.96 : x
  2. Step 2: Convert to fraction form
    581.32/869.82 = 337.96/x
  3. Step 3: Cross multiply
    581.32x = 869.82 × 337.96
  4. Step 4: Simplify right side
    581.32x = 293,964.37
  5. Step 5: Solve for x
    x = 293,964.37/581.32
  6. Step 6: Final answer
    x = 505.68

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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.