Home / 1,438.23-2,157.33-464.31

Finding the Fourth Proportional to 1,438.23, 2,157.33 and 464.31

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Solution

The fourth proportional to 1,438.23, 2,157.33 and 464.31 is: 696.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.23 : 2,157.33 = 464.31 : x
  2. Step 2: Convert to fraction form
    1,438.23/2,157.33 = 464.31/x
  3. Step 3: Cross multiply
    1,438.23x = 2,157.33 × 464.31
  4. Step 4: Simplify right side
    1,438.23x = 1,001,669.89
  5. Step 5: Solve for x
    x = 1,001,669.89/1,438.23
  6. Step 6: Final answer
    x = 696.46

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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.