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Finding the Fourth Proportional to 434.66, 648.84 and 405.50

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Solution

The fourth proportional to 434.66, 648.84 and 405.50 is: 605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.66 : 648.84 = 405.50 : x
  2. Step 2: Convert to fraction form
    434.66/648.84 = 405.50/x
  3. Step 3: Cross multiply
    434.66x = 648.84 × 405.50
  4. Step 4: Simplify right side
    434.66x = 263,104.62
  5. Step 5: Solve for x
    x = 263,104.62/434.66
  6. Step 6: Final answer
    x = 605.31

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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.