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Finding the Fourth Proportional to 1,330.39, 1,996.25 and 599.81

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Solution

The fourth proportional to 1,330.39, 1,996.25 and 599.81 is: 900.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.39 : 1,996.25 = 599.81 : x
  2. Step 2: Convert to fraction form
    1,330.39/1,996.25 = 599.81/x
  3. Step 3: Cross multiply
    1,330.39x = 1,996.25 × 599.81
  4. Step 4: Simplify right side
    1,330.39x = 1,197,370.71
  5. Step 5: Solve for x
    x = 1,197,370.71/1,330.39
  6. Step 6: Final answer
    x = 900.01

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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.