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Finding the Fourth Proportional to 599.30, 899.22 and 437.84

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Solution

The fourth proportional to 599.30, 899.22 and 437.84 is: 656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.30 : 899.22 = 437.84 : x
  2. Step 2: Convert to fraction form
    599.30/899.22 = 437.84/x
  3. Step 3: Cross multiply
    599.30x = 899.22 × 437.84
  4. Step 4: Simplify right side
    599.30x = 393,714.48
  5. Step 5: Solve for x
    x = 393,714.48/599.30
  6. Step 6: Final answer
    x = 656.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.