Home / 1,514.24-2,271.51-589.87

Finding the Fourth Proportional to 1,514.24, 2,271.51 and 589.87

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Solution

The fourth proportional to 1,514.24, 2,271.51 and 589.87 is: 884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.24 : 2,271.51 = 589.87 : x
  2. Step 2: Convert to fraction form
    1,514.24/2,271.51 = 589.87/x
  3. Step 3: Cross multiply
    1,514.24x = 2,271.51 × 589.87
  4. Step 4: Simplify right side
    1,514.24x = 1,339,895.60
  5. Step 5: Solve for x
    x = 1,339,895.60/1,514.24
  6. Step 6: Final answer
    x = 884.86

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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.