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Finding the Fourth Proportional to 1,327.58, 1,831.93 and 738.07

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Solution

The fourth proportional to 1,327.58, 1,831.93 and 738.07 is: 1,018.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.58 : 1,831.93 = 738.07 : x
  2. Step 2: Convert to fraction form
    1,327.58/1,831.93 = 738.07/x
  3. Step 3: Cross multiply
    1,327.58x = 1,831.93 × 738.07
  4. Step 4: Simplify right side
    1,327.58x = 1,352,092.58
  5. Step 5: Solve for x
    x = 1,352,092.58/1,327.58
  6. Step 6: Final answer
    x = 1,018.46

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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.