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Finding the Fourth Proportional to 425.70, 641.70 and 419.22

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Solution

The fourth proportional to 425.70, 641.70 and 419.22 is: 631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.70 : 641.70 = 419.22 : x
  2. Step 2: Convert to fraction form
    425.70/641.70 = 419.22/x
  3. Step 3: Cross multiply
    425.70x = 641.70 × 419.22
  4. Step 4: Simplify right side
    425.70x = 269,013.47
  5. Step 5: Solve for x
    x = 269,013.47/425.70
  6. Step 6: Final answer
    x = 631.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.