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Finding the Fourth Proportional to 1,480.40, 2,218.44 and 831.32

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Solution

The fourth proportional to 1,480.40, 2,218.44 and 831.32 is: 1,245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.40 : 2,218.44 = 831.32 : x
  2. Step 2: Convert to fraction form
    1,480.40/2,218.44 = 831.32/x
  3. Step 3: Cross multiply
    1,480.40x = 2,218.44 × 831.32
  4. Step 4: Simplify right side
    1,480.40x = 1,844,233.54
  5. Step 5: Solve for x
    x = 1,844,233.54/1,480.40
  6. Step 6: Final answer
    x = 1,245.77

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.