Home / 1,514.28-2,271.70-589.64

Finding the Fourth Proportional to 1,514.28, 2,271.70 and 589.64

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Solution

The fourth proportional to 1,514.28, 2,271.70 and 589.64 is: 884.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.28 : 2,271.70 = 589.64 : x
  2. Step 2: Convert to fraction form
    1,514.28/2,271.70 = 589.64/x
  3. Step 3: Cross multiply
    1,514.28x = 2,271.70 × 589.64
  4. Step 4: Simplify right side
    1,514.28x = 1,339,485.19
  5. Step 5: Solve for x
    x = 1,339,485.19/1,514.28
  6. Step 6: Final answer
    x = 884.57

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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.