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Finding the Fourth Proportional to 982.63, 1,356.85 and 877.53

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Solution

The fourth proportional to 982.63, 1,356.85 and 877.53 is: 1,211.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.63 : 1,356.85 = 877.53 : x
  2. Step 2: Convert to fraction form
    982.63/1,356.85 = 877.53/x
  3. Step 3: Cross multiply
    982.63x = 1,356.85 × 877.53
  4. Step 4: Simplify right side
    982.63x = 1,190,682.77
  5. Step 5: Solve for x
    x = 1,190,682.77/982.63
  6. Step 6: Final answer
    x = 1,211.73

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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.