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Finding the Fourth Proportional to 430.07, 641.12 and 423.41

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Solution

The fourth proportional to 430.07, 641.12 and 423.41 is: 631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.07 : 641.12 = 423.41 : x
  2. Step 2: Convert to fraction form
    430.07/641.12 = 423.41/x
  3. Step 3: Cross multiply
    430.07x = 641.12 × 423.41
  4. Step 4: Simplify right side
    430.07x = 271,451.30
  5. Step 5: Solve for x
    x = 271,451.30/430.07
  6. Step 6: Final answer
    x = 631.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.