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Finding the Fourth Proportional to 434.37, 599.84 and 287.08

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Solution

The fourth proportional to 434.37, 599.84 and 287.08 is: 396.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.37 : 599.84 = 287.08 : x
  2. Step 2: Convert to fraction form
    434.37/599.84 = 287.08/x
  3. Step 3: Cross multiply
    434.37x = 599.84 × 287.08
  4. Step 4: Simplify right side
    434.37x = 172,202.07
  5. Step 5: Solve for x
    x = 172,202.07/434.37
  6. Step 6: Final answer
    x = 396.44

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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.