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Finding the Fourth Proportional to 1,222.72, 1,831.32 and 929.77

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Solution

The fourth proportional to 1,222.72, 1,831.32 and 929.77 is: 1,392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.72 : 1,831.32 = 929.77 : x
  2. Step 2: Convert to fraction form
    1,222.72/1,831.32 = 929.77/x
  3. Step 3: Cross multiply
    1,222.72x = 1,831.32 × 929.77
  4. Step 4: Simplify right side
    1,222.72x = 1,702,706.40
  5. Step 5: Solve for x
    x = 1,702,706.40/1,222.72
  6. Step 6: Final answer
    x = 1,392.56

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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.