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Finding the Fourth Proportional to 831.04, 1,246.40 and 465.92

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Solution

The fourth proportional to 831.04, 1,246.40 and 465.92 is: 698.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.04 : 1,246.40 = 465.92 : x
  2. Step 2: Convert to fraction form
    831.04/1,246.40 = 465.92/x
  3. Step 3: Cross multiply
    831.04x = 1,246.40 × 465.92
  4. Step 4: Simplify right side
    831.04x = 580,722.69
  5. Step 5: Solve for x
    x = 580,722.69/831.04
  6. Step 6: Final answer
    x = 698.79

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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.