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Finding the Fourth Proportional to 831.66, 1,148.76 and 723.12

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Solution

The fourth proportional to 831.66, 1,148.76 and 723.12 is: 998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.66 : 1,148.76 = 723.12 : x
  2. Step 2: Convert to fraction form
    831.66/1,148.76 = 723.12/x
  3. Step 3: Cross multiply
    831.66x = 1,148.76 × 723.12
  4. Step 4: Simplify right side
    831.66x = 830,691.33
  5. Step 5: Solve for x
    x = 830,691.33/831.66
  6. Step 6: Final answer
    x = 998.84

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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.