Home / 1,439.24-2,158.40-465.14

Finding the Fourth Proportional to 1,439.24, 2,158.40 and 465.14

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Solution

The fourth proportional to 1,439.24, 2,158.40 and 465.14 is: 697.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.24 : 2,158.40 = 465.14 : x
  2. Step 2: Convert to fraction form
    1,439.24/2,158.40 = 465.14/x
  3. Step 3: Cross multiply
    1,439.24x = 2,158.40 × 465.14
  4. Step 4: Simplify right side
    1,439.24x = 1,003,958.18
  5. Step 5: Solve for x
    x = 1,003,958.18/1,439.24
  6. Step 6: Final answer
    x = 697.56

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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.