Home / 1,461.56-2,189.44-767.18

Finding the Fourth Proportional to 1,461.56, 2,189.44 and 767.18

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Solution

The fourth proportional to 1,461.56, 2,189.44 and 767.18 is: 1,149.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.56 : 2,189.44 = 767.18 : x
  2. Step 2: Convert to fraction form
    1,461.56/2,189.44 = 767.18/x
  3. Step 3: Cross multiply
    1,461.56x = 2,189.44 × 767.18
  4. Step 4: Simplify right side
    1,461.56x = 1,679,701.01
  5. Step 5: Solve for x
    x = 1,679,701.01/1,461.56
  6. Step 6: Final answer
    x = 1,149.26

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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.