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Finding the Fourth Proportional to 831.93, 1,248.07 and 415.68

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Solution

The fourth proportional to 831.93, 1,248.07 and 415.68 is: 623.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.93 : 1,248.07 = 415.68 : x
  2. Step 2: Convert to fraction form
    831.93/1,248.07 = 415.68/x
  3. Step 3: Cross multiply
    831.93x = 1,248.07 × 415.68
  4. Step 4: Simplify right side
    831.93x = 518,797.74
  5. Step 5: Solve for x
    x = 518,797.74/831.93
  6. Step 6: Final answer
    x = 623.61

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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.