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Finding the Fourth Proportional to 1,421.63, 2,132.14 and 599.68

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Solution

The fourth proportional to 1,421.63, 2,132.14 and 599.68 is: 899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.63 : 2,132.14 = 599.68 : x
  2. Step 2: Convert to fraction form
    1,421.63/2,132.14 = 599.68/x
  3. Step 3: Cross multiply
    1,421.63x = 2,132.14 × 599.68
  4. Step 4: Simplify right side
    1,421.63x = 1,278,601.72
  5. Step 5: Solve for x
    x = 1,278,601.72/1,421.63
  6. Step 6: Final answer
    x = 899.39

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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.