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Finding the Fourth Proportional to 1,327.78, 1,831.98 and 802.90

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Solution

The fourth proportional to 1,327.78, 1,831.98 and 802.90 is: 1,107.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.78 : 1,831.98 = 802.90 : x
  2. Step 2: Convert to fraction form
    1,327.78/1,831.98 = 802.90/x
  3. Step 3: Cross multiply
    1,327.78x = 1,831.98 × 802.90
  4. Step 4: Simplify right side
    1,327.78x = 1,470,896.74
  5. Step 5: Solve for x
    x = 1,470,896.74/1,327.78
  6. Step 6: Final answer
    x = 1,107.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.