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Finding the Fourth Proportional to 438.23, 660.83 and 430.02

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Solution

The fourth proportional to 438.23, 660.83 and 430.02 is: 648.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.23 : 660.83 = 430.02 : x
  2. Step 2: Convert to fraction form
    438.23/660.83 = 430.02/x
  3. Step 3: Cross multiply
    438.23x = 660.83 × 430.02
  4. Step 4: Simplify right side
    438.23x = 284,167.97
  5. Step 5: Solve for x
    x = 284,167.97/438.23
  6. Step 6: Final answer
    x = 648.44

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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.