Home / 1,439.12-2,158.78-465.22

Finding the Fourth Proportional to 1,439.12, 2,158.78 and 465.22

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Solution

The fourth proportional to 1,439.12, 2,158.78 and 465.22 is: 697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.12 : 2,158.78 = 465.22 : x
  2. Step 2: Convert to fraction form
    1,439.12/2,158.78 = 465.22/x
  3. Step 3: Cross multiply
    1,439.12x = 2,158.78 × 465.22
  4. Step 4: Simplify right side
    1,439.12x = 1,004,307.63
  5. Step 5: Solve for x
    x = 1,004,307.63/1,439.12
  6. Step 6: Final answer
    x = 697.86

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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.