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Finding the Fourth Proportional to 430.56, 645.12 and 314.88

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Solution

The fourth proportional to 430.56, 645.12 and 314.88 is: 471.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.56 : 645.12 = 314.88 : x
  2. Step 2: Convert to fraction form
    430.56/645.12 = 314.88/x
  3. Step 3: Cross multiply
    430.56x = 645.12 × 314.88
  4. Step 4: Simplify right side
    430.56x = 203,135.39
  5. Step 5: Solve for x
    x = 203,135.39/430.56
  6. Step 6: Final answer
    x = 471.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.