Home / 1,514.32-2,271.26-783.70

Finding the Fourth Proportional to 1,514.32, 2,271.26 and 783.70

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Solution

The fourth proportional to 1,514.32, 2,271.26 and 783.70 is: 1,175.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.32 : 2,271.26 = 783.70 : x
  2. Step 2: Convert to fraction form
    1,514.32/2,271.26 = 783.70/x
  3. Step 3: Cross multiply
    1,514.32x = 2,271.26 × 783.70
  4. Step 4: Simplify right side
    1,514.32x = 1,779,986.46
  5. Step 5: Solve for x
    x = 1,779,986.46/1,514.32
  6. Step 6: Final answer
    x = 1,175.44

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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.