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Finding the Fourth Proportional to 831.88, 1,248.71 and 703.45

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Solution

The fourth proportional to 831.88, 1,248.71 and 703.45 is: 1,055.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.88 : 1,248.71 = 703.45 : x
  2. Step 2: Convert to fraction form
    831.88/1,248.71 = 703.45/x
  3. Step 3: Cross multiply
    831.88x = 1,248.71 × 703.45
  4. Step 4: Simplify right side
    831.88x = 878,405.05
  5. Step 5: Solve for x
    x = 878,405.05/831.88
  6. Step 6: Final answer
    x = 1,055.93

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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.