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Finding the Fourth Proportional to 599.81, 900.11 and 275.20

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Solution

The fourth proportional to 599.81, 900.11 and 275.20 is: 412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.81 : 900.11 = 275.20 : x
  2. Step 2: Convert to fraction form
    599.81/900.11 = 275.20/x
  3. Step 3: Cross multiply
    599.81x = 900.11 × 275.20
  4. Step 4: Simplify right side
    599.81x = 247,708.71
  5. Step 5: Solve for x
    x = 247,708.71/599.81
  6. Step 6: Final answer
    x = 412.98

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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.