Home / 1,514.39-2,271.57-692.43

Finding the Fourth Proportional to 1,514.39, 2,271.57 and 692.43

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Solution

The fourth proportional to 1,514.39, 2,271.57 and 692.43 is: 1,038.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.39 : 2,271.57 = 692.43 : x
  2. Step 2: Convert to fraction form
    1,514.39/2,271.57 = 692.43/x
  3. Step 3: Cross multiply
    1,514.39x = 2,271.57 × 692.43
  4. Step 4: Simplify right side
    1,514.39x = 1,572,903.22
  5. Step 5: Solve for x
    x = 1,572,903.22/1,514.39
  6. Step 6: Final answer
    x = 1,038.64

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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.