Home / 1,514.45-2,270.43-784.23

Finding the Fourth Proportional to 1,514.45, 2,270.43 and 784.23

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Solution

The fourth proportional to 1,514.45, 2,270.43 and 784.23 is: 1,175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.45 : 2,270.43 = 784.23 : x
  2. Step 2: Convert to fraction form
    1,514.45/2,270.43 = 784.23/x
  3. Step 3: Cross multiply
    1,514.45x = 2,270.43 × 784.23
  4. Step 4: Simplify right side
    1,514.45x = 1,780,539.32
  5. Step 5: Solve for x
    x = 1,780,539.32/1,514.45
  6. Step 6: Final answer
    x = 1,175.70

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1.5x scale

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.