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Finding the Fourth Proportional to 1,221.32, 1,831.98 and 813.08

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Solution

The fourth proportional to 1,221.32, 1,831.98 and 813.08 is: 1,219.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.32 : 1,831.98 = 813.08 : x
  2. Step 2: Convert to fraction form
    1,221.32/1,831.98 = 813.08/x
  3. Step 3: Cross multiply
    1,221.32x = 1,831.98 × 813.08
  4. Step 4: Simplify right side
    1,221.32x = 1,489,546.30
  5. Step 5: Solve for x
    x = 1,489,546.30/1,221.32
  6. Step 6: Final answer
    x = 1,219.62

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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.