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Finding the Fourth Proportional to 598.88, 899.60 and 428.96

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Solution

The fourth proportional to 598.88, 899.60 and 428.96 is: 644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.88 : 899.60 = 428.96 : x
  2. Step 2: Convert to fraction form
    598.88/899.60 = 428.96/x
  3. Step 3: Cross multiply
    598.88x = 899.60 × 428.96
  4. Step 4: Simplify right side
    598.88x = 385,892.42
  5. Step 5: Solve for x
    x = 385,892.42/598.88
  6. Step 6: Final answer
    x = 644.36

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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.