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Finding the Fourth Proportional to 1,221.24, 1,831.05 and 788.16

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Solution

The fourth proportional to 1,221.24, 1,831.05 and 788.16 is: 1,181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.24 : 1,831.05 = 788.16 : x
  2. Step 2: Convert to fraction form
    1,221.24/1,831.05 = 788.16/x
  3. Step 3: Cross multiply
    1,221.24x = 1,831.05 × 788.16
  4. Step 4: Simplify right side
    1,221.24x = 1,443,160.37
  5. Step 5: Solve for x
    x = 1,443,160.37/1,221.24
  6. Step 6: Final answer
    x = 1,181.72

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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.