Home / 1,514.72-2,272.08-692.77

Finding the Fourth Proportional to 1,514.72, 2,272.08 and 692.77

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Solution

The fourth proportional to 1,514.72, 2,272.08 and 692.77 is: 1,039.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.72 : 2,272.08 = 692.77 : x
  2. Step 2: Convert to fraction form
    1,514.72/2,272.08 = 692.77/x
  3. Step 3: Cross multiply
    1,514.72x = 2,272.08 × 692.77
  4. Step 4: Simplify right side
    1,514.72x = 1,574,028.86
  5. Step 5: Solve for x
    x = 1,574,028.86/1,514.72
  6. Step 6: Final answer
    x = 1,039.16

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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.