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Finding the Fourth Proportional to 430.96, 592.89 and 380.92

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Solution

The fourth proportional to 430.96, 592.89 and 380.92 is: 524.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.96 : 592.89 = 380.92 : x
  2. Step 2: Convert to fraction form
    430.96/592.89 = 380.92/x
  3. Step 3: Cross multiply
    430.96x = 592.89 × 380.92
  4. Step 4: Simplify right side
    430.96x = 225,843.66
  5. Step 5: Solve for x
    x = 225,843.66/430.96
  6. Step 6: Final answer
    x = 524.05

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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.