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Finding the Fourth Proportional to 434.35, 599.70 and 397.36

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Solution

The fourth proportional to 434.35, 599.70 and 397.36 is: 548.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.35 : 599.70 = 397.36 : x
  2. Step 2: Convert to fraction form
    434.35/599.70 = 397.36/x
  3. Step 3: Cross multiply
    434.35x = 599.70 × 397.36
  4. Step 4: Simplify right side
    434.35x = 238,296.79
  5. Step 5: Solve for x
    x = 238,296.79/434.35
  6. Step 6: Final answer
    x = 548.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.