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Finding the Fourth Proportional to 599.49, 897.17 and 380.25

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Solution

The fourth proportional to 599.49, 897.17 and 380.25 is: 569.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.49 : 897.17 = 380.25 : x
  2. Step 2: Convert to fraction form
    599.49/897.17 = 380.25/x
  3. Step 3: Cross multiply
    599.49x = 897.17 × 380.25
  4. Step 4: Simplify right side
    599.49x = 341,146.99
  5. Step 5: Solve for x
    x = 341,146.99/599.49
  6. Step 6: Final answer
    x = 569.06

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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.