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Finding the Fourth Proportional to 434.08, 599.79 and 378.72

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Solution

The fourth proportional to 434.08, 599.79 and 378.72 is: 523.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.08 : 599.79 = 378.72 : x
  2. Step 2: Convert to fraction form
    434.08/599.79 = 378.72/x
  3. Step 3: Cross multiply
    434.08x = 599.79 × 378.72
  4. Step 4: Simplify right side
    434.08x = 227,152.47
  5. Step 5: Solve for x
    x = 227,152.47/434.08
  6. Step 6: Final answer
    x = 523.30

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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.