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Finding the Fourth Proportional to 1,431.59, 2,147.81 and 599.05

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Solution

The fourth proportional to 1,431.59, 2,147.81 and 599.05 is: 898.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.59 : 2,147.81 = 599.05 : x
  2. Step 2: Convert to fraction form
    1,431.59/2,147.81 = 599.05/x
  3. Step 3: Cross multiply
    1,431.59x = 2,147.81 × 599.05
  4. Step 4: Simplify right side
    1,431.59x = 1,286,637.22
  5. Step 5: Solve for x
    x = 1,286,637.22/1,431.59
  6. Step 6: Final answer
    x = 898.75

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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.