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Finding the Fourth Proportional to 430.89, 593.82 and 395.97

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Solution

The fourth proportional to 430.89, 593.82 and 395.97 is: 545.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.89 : 593.82 = 395.97 : x
  2. Step 2: Convert to fraction form
    430.89/593.82 = 395.97/x
  3. Step 3: Cross multiply
    430.89x = 593.82 × 395.97
  4. Step 4: Simplify right side
    430.89x = 235,134.91
  5. Step 5: Solve for x
    x = 235,134.91/430.89
  6. Step 6: Final answer
    x = 545.70

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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.