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Finding the Fourth Proportional to 1,327.50, 1,831.95 and 914.22

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Solution

The fourth proportional to 1,327.50, 1,831.95 and 914.22 is: 1,261.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.50 : 1,831.95 = 914.22 : x
  2. Step 2: Convert to fraction form
    1,327.50/1,831.95 = 914.22/x
  3. Step 3: Cross multiply
    1,327.50x = 1,831.95 × 914.22
  4. Step 4: Simplify right side
    1,327.50x = 1,674,805.33
  5. Step 5: Solve for x
    x = 1,674,805.33/1,327.50
  6. Step 6: Final answer
    x = 1,261.62

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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.