Home / 1,439.02-2,158.23-412.78

Finding the Fourth Proportional to 1,439.02, 2,158.23 and 412.78

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Solution

The fourth proportional to 1,439.02, 2,158.23 and 412.78 is: 619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.02 : 2,158.23 = 412.78 : x
  2. Step 2: Convert to fraction form
    1,439.02/2,158.23 = 412.78/x
  3. Step 3: Cross multiply
    1,439.02x = 2,158.23 × 412.78
  4. Step 4: Simplify right side
    1,439.02x = 890,874.18
  5. Step 5: Solve for x
    x = 890,874.18/1,439.02
  6. Step 6: Final answer
    x = 619.08

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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.