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Finding the Fourth Proportional to 831.54, 1,146.66 and 536.46

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Solution

The fourth proportional to 831.54, 1,146.66 and 536.46 is: 739.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.54 : 1,146.66 = 536.46 : x
  2. Step 2: Convert to fraction form
    831.54/1,146.66 = 536.46/x
  3. Step 3: Cross multiply
    831.54x = 1,146.66 × 536.46
  4. Step 4: Simplify right side
    831.54x = 615,137.22
  5. Step 5: Solve for x
    x = 615,137.22/831.54
  6. Step 6: Final answer
    x = 739.76

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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.