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Finding the Fourth Proportional to 430.72, 593.72 and 347.44

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Solution

The fourth proportional to 430.72, 593.72 and 347.44 is: 478.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.72 : 593.72 = 347.44 : x
  2. Step 2: Convert to fraction form
    430.72/593.72 = 347.44/x
  3. Step 3: Cross multiply
    430.72x = 593.72 × 347.44
  4. Step 4: Simplify right side
    430.72x = 206,282.08
  5. Step 5: Solve for x
    x = 206,282.08/430.72
  6. Step 6: Final answer
    x = 478.92

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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.