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Finding the Fourth Proportional to 430.56, 592.82 and 380.03

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Solution

The fourth proportional to 430.56, 592.82 and 380.03 is: 523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.56 : 592.82 = 380.03 : x
  2. Step 2: Convert to fraction form
    430.56/592.82 = 380.03/x
  3. Step 3: Cross multiply
    430.56x = 592.82 × 380.03
  4. Step 4: Simplify right side
    430.56x = 225,288.97
  5. Step 5: Solve for x
    x = 225,288.97/430.56
  6. Step 6: Final answer
    x = 523.25

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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.