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Finding the Fourth Proportional to 847.94, 1,175.09 and 831.54

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Solution

The fourth proportional to 847.94, 1,175.09 and 831.54 is: 1,152.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.94 : 1,175.09 = 831.54 : x
  2. Step 2: Convert to fraction form
    847.94/1,175.09 = 831.54/x
  3. Step 3: Cross multiply
    847.94x = 1,175.09 × 831.54
  4. Step 4: Simplify right side
    847.94x = 977,130.18
  5. Step 5: Solve for x
    x = 977,130.18/847.94
  6. Step 6: Final answer
    x = 1,152.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.