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Finding the Fourth Proportional to 402.50, 599.80 and 389.44

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Solution

The fourth proportional to 402.50, 599.80 and 389.44 is: 580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.50 : 599.80 = 389.44 : x
  2. Step 2: Convert to fraction form
    402.50/599.80 = 389.44/x
  3. Step 3: Cross multiply
    402.50x = 599.80 × 389.44
  4. Step 4: Simplify right side
    402.50x = 233,586.11
  5. Step 5: Solve for x
    x = 233,586.11/402.50
  6. Step 6: Final answer
    x = 580.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.