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Finding the Fourth Proportional to 599.57, 897.62 and 380.44

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Solution

The fourth proportional to 599.57, 897.62 and 380.44 is: 569.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.57 : 897.62 = 380.44 : x
  2. Step 2: Convert to fraction form
    599.57/897.62 = 380.44/x
  3. Step 3: Cross multiply
    599.57x = 897.62 × 380.44
  4. Step 4: Simplify right side
    599.57x = 341,484.16
  5. Step 5: Solve for x
    x = 341,484.16/599.57
  6. Step 6: Final answer
    x = 569.55

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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.