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Finding the Fourth Proportional to 430.92, 593.06 and 395.96

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Solution

The fourth proportional to 430.92, 593.06 and 395.96 is: 544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.92 : 593.06 = 395.96 : x
  2. Step 2: Convert to fraction form
    430.92/593.06 = 395.96/x
  3. Step 3: Cross multiply
    430.92x = 593.06 × 395.96
  4. Step 4: Simplify right side
    430.92x = 234,823.09
  5. Step 5: Solve for x
    x = 234,823.09/430.92
  6. Step 6: Final answer
    x = 544.93

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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.