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Finding the Fourth Proportional to 435.51, 648.63 and 423.96

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Solution

The fourth proportional to 435.51, 648.63 and 423.96 is: 631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.51 : 648.63 = 423.96 : x
  2. Step 2: Convert to fraction form
    435.51/648.63 = 423.96/x
  3. Step 3: Cross multiply
    435.51x = 648.63 × 423.96
  4. Step 4: Simplify right side
    435.51x = 274,993.17
  5. Step 5: Solve for x
    x = 274,993.17/435.51
  6. Step 6: Final answer
    x = 631.43

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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.