Home / 1,515.24-2,271.96-649.08

Finding the Fourth Proportional to 1,515.24, 2,271.96 and 649.08

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Solution

The fourth proportional to 1,515.24, 2,271.96 and 649.08 is: 973.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.24 : 2,271.96 = 649.08 : x
  2. Step 2: Convert to fraction form
    1,515.24/2,271.96 = 649.08/x
  3. Step 3: Cross multiply
    1,515.24x = 2,271.96 × 649.08
  4. Step 4: Simplify right side
    1,515.24x = 1,474,683.80
  5. Step 5: Solve for x
    x = 1,474,683.80/1,515.24
  6. Step 6: Final answer
    x = 973.23

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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.