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Finding the Fourth Proportional to 434.64, 648.25 and 427.36

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Solution

The fourth proportional to 434.64, 648.25 and 427.36 is: 637.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.64 : 648.25 = 427.36 : x
  2. Step 2: Convert to fraction form
    434.64/648.25 = 427.36/x
  3. Step 3: Cross multiply
    434.64x = 648.25 × 427.36
  4. Step 4: Simplify right side
    434.64x = 277,036.12
  5. Step 5: Solve for x
    x = 277,036.12/434.64
  6. Step 6: Final answer
    x = 637.39

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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.