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Finding the Fourth Proportional to 430.65, 593.87 and 374.76

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Solution

The fourth proportional to 430.65, 593.87 and 374.76 is: 516.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.65 : 593.87 = 374.76 : x
  2. Step 2: Convert to fraction form
    430.65/593.87 = 374.76/x
  3. Step 3: Cross multiply
    430.65x = 593.87 × 374.76
  4. Step 4: Simplify right side
    430.65x = 222,556.85
  5. Step 5: Solve for x
    x = 222,556.85/430.65
  6. Step 6: Final answer
    x = 516.79

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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.