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Finding the Fourth Proportional to 831.69, 1,148.99 and 708.62

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Solution

The fourth proportional to 831.69, 1,148.99 and 708.62 is: 978.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.69 : 1,148.99 = 708.62 : x
  2. Step 2: Convert to fraction form
    831.69/1,148.99 = 708.62/x
  3. Step 3: Cross multiply
    831.69x = 1,148.99 × 708.62
  4. Step 4: Simplify right side
    831.69x = 814,188.01
  5. Step 5: Solve for x
    x = 814,188.01/831.69
  6. Step 6: Final answer
    x = 978.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.