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Finding the Fourth Proportional to 505.99, 698.34 and 348.67

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Solution

The fourth proportional to 505.99, 698.34 and 348.67 is: 481.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.99 : 698.34 = 348.67 : x
  2. Step 2: Convert to fraction form
    505.99/698.34 = 348.67/x
  3. Step 3: Cross multiply
    505.99x = 698.34 × 348.67
  4. Step 4: Simplify right side
    505.99x = 243,490.21
  5. Step 5: Solve for x
    x = 243,490.21/505.99
  6. Step 6: Final answer
    x = 481.22

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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.