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Finding the Fourth Proportional to 434.70, 648.42 and 393.66

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Solution

The fourth proportional to 434.70, 648.42 and 393.66 is: 587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.70 : 648.42 = 393.66 : x
  2. Step 2: Convert to fraction form
    434.70/648.42 = 393.66/x
  3. Step 3: Cross multiply
    434.70x = 648.42 × 393.66
  4. Step 4: Simplify right side
    434.70x = 255,257.02
  5. Step 5: Solve for x
    x = 255,257.02/434.70
  6. Step 6: Final answer
    x = 587.20

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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.