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Finding the Fourth Proportional to 831.78, 1,245.78 and 710.28

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Solution

The fourth proportional to 831.78, 1,245.78 and 710.28 is: 1,063.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.78 : 1,245.78 = 710.28 : x
  2. Step 2: Convert to fraction form
    831.78/1,245.78 = 710.28/x
  3. Step 3: Cross multiply
    831.78x = 1,245.78 × 710.28
  4. Step 4: Simplify right side
    831.78x = 884,852.62
  5. Step 5: Solve for x
    x = 884,852.62/831.78
  6. Step 6: Final answer
    x = 1,063.81

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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.