Home / 1,178.20-1,626.78-829.36

Finding the Fourth Proportional to 1,178.20, 1,626.78 and 829.36

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Solution

The fourth proportional to 1,178.20, 1,626.78 and 829.36 is: 1,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.20 : 1,626.78 = 829.36 : x
  2. Step 2: Convert to fraction form
    1,178.20/1,626.78 = 829.36/x
  3. Step 3: Cross multiply
    1,178.20x = 1,626.78 × 829.36
  4. Step 4: Simplify right side
    1,178.20x = 1,349,186.26
  5. Step 5: Solve for x
    x = 1,349,186.26/1,178.20
  6. Step 6: Final answer
    x = 1,145.12

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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.