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Finding the Fourth Proportional to 831.11, 1,146.34 and 705.90

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Solution

The fourth proportional to 831.11, 1,146.34 and 705.90 is: 973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.11 : 1,146.34 = 705.90 : x
  2. Step 2: Convert to fraction form
    831.11/1,146.34 = 705.90/x
  3. Step 3: Cross multiply
    831.11x = 1,146.34 × 705.90
  4. Step 4: Simplify right side
    831.11x = 809,201.41
  5. Step 5: Solve for x
    x = 809,201.41/831.11
  6. Step 6: Final answer
    x = 973.64

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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.