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Finding the Fourth Proportional to 831.90, 1,248 and 284.07

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Solution

The fourth proportional to 831.90, 1,248 and 284.07 is: 426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.90 : 1,248 = 284.07 : x
  2. Step 2: Convert to fraction form
    831.90/1,248 = 284.07/x
  3. Step 3: Cross multiply
    831.90x = 1,248 × 284.07
  4. Step 4: Simplify right side
    831.90x = 354,519.36
  5. Step 5: Solve for x
    x = 354,519.36/831.90
  6. Step 6: Final answer
    x = 426.16

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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.