Home / 1,164.32-1,738.40-1,047.68

Finding the Fourth Proportional to 1,164.32, 1,738.40 and 1,047.68

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Solution

The fourth proportional to 1,164.32, 1,738.40 and 1,047.68 is: 1,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.32 : 1,738.40 = 1,047.68 : x
  2. Step 2: Convert to fraction form
    1,164.32/1,738.40 = 1,047.68/x
  3. Step 3: Cross multiply
    1,164.32x = 1,738.40 × 1,047.68
  4. Step 4: Simplify right side
    1,164.32x = 1,821,286.91
  5. Step 5: Solve for x
    x = 1,821,286.91/1,164.32
  6. Step 6: Final answer
    x = 1,564.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.