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Finding the Fourth Proportional to 431.70, 644.36 and 423.66

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Solution

The fourth proportional to 431.70, 644.36 and 423.66 is: 632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.70 : 644.36 = 423.66 : x
  2. Step 2: Convert to fraction form
    431.70/644.36 = 423.66/x
  3. Step 3: Cross multiply
    431.70x = 644.36 × 423.66
  4. Step 4: Simplify right side
    431.70x = 272,987.44
  5. Step 5: Solve for x
    x = 272,987.44/431.70
  6. Step 6: Final answer
    x = 632.35

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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.