Home / 1,178.07-1,625.75-829.37

Finding the Fourth Proportional to 1,178.07, 1,625.75 and 829.37

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Solution

The fourth proportional to 1,178.07, 1,625.75 and 829.37 is: 1,144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.07 : 1,625.75 = 829.37 : x
  2. Step 2: Convert to fraction form
    1,178.07/1,625.75 = 829.37/x
  3. Step 3: Cross multiply
    1,178.07x = 1,625.75 × 829.37
  4. Step 4: Simplify right side
    1,178.07x = 1,348,348.28
  5. Step 5: Solve for x
    x = 1,348,348.28/1,178.07
  6. Step 6: Final answer
    x = 1,144.54

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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.