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Finding the Fourth Proportional to 831.06, 1,146.44 and 673.88

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Solution

The fourth proportional to 831.06, 1,146.44 and 673.88 is: 929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.06 : 1,146.44 = 673.88 : x
  2. Step 2: Convert to fraction form
    831.06/1,146.44 = 673.88/x
  3. Step 3: Cross multiply
    831.06x = 1,146.44 × 673.88
  4. Step 4: Simplify right side
    831.06x = 772,553.89
  5. Step 5: Solve for x
    x = 772,553.89/831.06
  6. Step 6: Final answer
    x = 929.60

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1.5x scale

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.