Home / 1,344.62-2,017.08-420.02

Finding the Fourth Proportional to 1,344.62, 2,017.08 and 420.02

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Solution

The fourth proportional to 1,344.62, 2,017.08 and 420.02 is: 630.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.62 : 2,017.08 = 420.02 : x
  2. Step 2: Convert to fraction form
    1,344.62/2,017.08 = 420.02/x
  3. Step 3: Cross multiply
    1,344.62x = 2,017.08 × 420.02
  4. Step 4: Simplify right side
    1,344.62x = 847,213.94
  5. Step 5: Solve for x
    x = 847,213.94/1,344.62
  6. Step 6: Final answer
    x = 630.08

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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.