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Finding the Fourth Proportional to 591.35, 815.99 and 342.67

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Solution

The fourth proportional to 591.35, 815.99 and 342.67 is: 472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.35 : 815.99 = 342.67 : x
  2. Step 2: Convert to fraction form
    591.35/815.99 = 342.67/x
  3. Step 3: Cross multiply
    591.35x = 815.99 × 342.67
  4. Step 4: Simplify right side
    591.35x = 279,614.11
  5. Step 5: Solve for x
    x = 279,614.11/591.35
  6. Step 6: Final answer
    x = 472.84

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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.