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Finding the Fourth Proportional to 434.29, 648.03 and 388.25

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Solution

The fourth proportional to 434.29, 648.03 and 388.25 is: 579.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.29 : 648.03 = 388.25 : x
  2. Step 2: Convert to fraction form
    434.29/648.03 = 388.25/x
  3. Step 3: Cross multiply
    434.29x = 648.03 × 388.25
  4. Step 4: Simplify right side
    434.29x = 251,597.65
  5. Step 5: Solve for x
    x = 251,597.65/434.29
  6. Step 6: Final answer
    x = 579.34

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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.