Home / 1,514.70-2,271.75-783.69

Finding the Fourth Proportional to 1,514.70, 2,271.75 and 783.69

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Solution

The fourth proportional to 1,514.70, 2,271.75 and 783.69 is: 1,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.70 : 2,271.75 = 783.69 : x
  2. Step 2: Convert to fraction form
    1,514.70/2,271.75 = 783.69/x
  3. Step 3: Cross multiply
    1,514.70x = 2,271.75 × 783.69
  4. Step 4: Simplify right side
    1,514.70x = 1,780,347.76
  5. Step 5: Solve for x
    x = 1,780,347.76/1,514.70
  6. Step 6: Final answer
    x = 1,175.38

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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.