Home / 1,178.26-1,626.69-786.10

Finding the Fourth Proportional to 1,178.26, 1,626.69 and 786.10

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Solution

The fourth proportional to 1,178.26, 1,626.69 and 786.10 is: 1,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.26 : 1,626.69 = 786.10 : x
  2. Step 2: Convert to fraction form
    1,178.26/1,626.69 = 786.10/x
  3. Step 3: Cross multiply
    1,178.26x = 1,626.69 × 786.10
  4. Step 4: Simplify right side
    1,178.26x = 1,278,741.01
  5. Step 5: Solve for x
    x = 1,278,741.01/1,178.26
  6. Step 6: Final answer
    x = 1,085.28

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.