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Finding the Fourth Proportional to 1,515, 2,271.52 and 589.76

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Solution

The fourth proportional to 1,515, 2,271.52 and 589.76 is: 884.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515 : 2,271.52 = 589.76 : x
  2. Step 2: Convert to fraction form
    1,515/2,271.52 = 589.76/x
  3. Step 3: Cross multiply
    1,515x = 2,271.52 × 589.76
  4. Step 4: Simplify right side
    1,515x = 1,339,651.64
  5. Step 5: Solve for x
    x = 1,339,651.64/1,515
  6. Step 6: Final answer
    x = 884.26

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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.