Home / 1,178.12-1,626.34-805.70

Finding the Fourth Proportional to 1,178.12, 1,626.34 and 805.70

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Solution

The fourth proportional to 1,178.12, 1,626.34 and 805.70 is: 1,112.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.12 : 1,626.34 = 805.70 : x
  2. Step 2: Convert to fraction form
    1,178.12/1,626.34 = 805.70/x
  3. Step 3: Cross multiply
    1,178.12x = 1,626.34 × 805.70
  4. Step 4: Simplify right side
    1,178.12x = 1,310,342.14
  5. Step 5: Solve for x
    x = 1,310,342.14/1,178.12
  6. Step 6: Final answer
    x = 1,112.23

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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.