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Finding the Fourth Proportional to 831.01, 1,246.65 and 253.75

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Solution

The fourth proportional to 831.01, 1,246.65 and 253.75 is: 380.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.01 : 1,246.65 = 253.75 : x
  2. Step 2: Convert to fraction form
    831.01/1,246.65 = 253.75/x
  3. Step 3: Cross multiply
    831.01x = 1,246.65 × 253.75
  4. Step 4: Simplify right side
    831.01x = 316,337.44
  5. Step 5: Solve for x
    x = 316,337.44/831.01
  6. Step 6: Final answer
    x = 380.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.