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Finding the Fourth Proportional to 1,355.84, 1,871.22 and 831.98

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Solution

The fourth proportional to 1,355.84, 1,871.22 and 831.98 is: 1,148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.84 : 1,871.22 = 831.98 : x
  2. Step 2: Convert to fraction form
    1,355.84/1,871.22 = 831.98/x
  3. Step 3: Cross multiply
    1,355.84x = 1,871.22 × 831.98
  4. Step 4: Simplify right side
    1,355.84x = 1,556,817.62
  5. Step 5: Solve for x
    x = 1,556,817.62/1,355.84
  6. Step 6: Final answer
    x = 1,148.23

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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.