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Finding the Fourth Proportional to 989.63, 1,364.80 and 888.64

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Solution

The fourth proportional to 989.63, 1,364.80 and 888.64 is: 1,225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.63 : 1,364.80 = 888.64 : x
  2. Step 2: Convert to fraction form
    989.63/1,364.80 = 888.64/x
  3. Step 3: Cross multiply
    989.63x = 1,364.80 × 888.64
  4. Step 4: Simplify right side
    989.63x = 1,212,811.90
  5. Step 5: Solve for x
    x = 1,212,811.90/989.63
  6. Step 6: Final answer
    x = 1,225.52

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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.