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Finding the Fourth Proportional to 1,431.97, 2,148.37 and 599.42

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Solution

The fourth proportional to 1,431.97, 2,148.37 and 599.42 is: 899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.97 : 2,148.37 = 599.42 : x
  2. Step 2: Convert to fraction form
    1,431.97/2,148.37 = 599.42/x
  3. Step 3: Cross multiply
    1,431.97x = 2,148.37 × 599.42
  4. Step 4: Simplify right side
    1,431.97x = 1,287,779.82
  5. Step 5: Solve for x
    x = 1,287,779.82/1,431.97
  6. Step 6: Final answer
    x = 899.31

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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.