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Finding the Fourth Proportional to 950.40, 1,425.72 and 430.38

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Solution

The fourth proportional to 950.40, 1,425.72 and 430.38 is: 645.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.40 : 1,425.72 = 430.38 : x
  2. Step 2: Convert to fraction form
    950.40/1,425.72 = 430.38/x
  3. Step 3: Cross multiply
    950.40x = 1,425.72 × 430.38
  4. Step 4: Simplify right side
    950.40x = 613,601.37
  5. Step 5: Solve for x
    x = 613,601.37/950.40
  6. Step 6: Final answer
    x = 645.62

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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.