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Finding the Fourth Proportional to 438.19, 653.42 and 427.70

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Solution

The fourth proportional to 438.19, 653.42 and 427.70 is: 637.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.19 : 653.42 = 427.70 : x
  2. Step 2: Convert to fraction form
    438.19/653.42 = 427.70/x
  3. Step 3: Cross multiply
    438.19x = 653.42 × 427.70
  4. Step 4: Simplify right side
    438.19x = 279,470.44
  5. Step 5: Solve for x
    x = 279,470.44/438.19
  6. Step 6: Final answer
    x = 637.79

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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.