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Finding the Fourth Proportional to 831.98, 1,248.14 and 284.51

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Solution

The fourth proportional to 831.98, 1,248.14 and 284.51 is: 426.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.98 : 1,248.14 = 284.51 : x
  2. Step 2: Convert to fraction form
    831.98/1,248.14 = 284.51/x
  3. Step 3: Cross multiply
    831.98x = 1,248.14 × 284.51
  4. Step 4: Simplify right side
    831.98x = 355,100.65
  5. Step 5: Solve for x
    x = 355,100.65/831.98
  6. Step 6: Final answer
    x = 426.82

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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.