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Finding the Fourth Proportional to 989.44, 1,364.55 and 711.50

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Solution

The fourth proportional to 989.44, 1,364.55 and 711.50 is: 981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.44 : 1,364.55 = 711.50 : x
  2. Step 2: Convert to fraction form
    989.44/1,364.55 = 711.50/x
  3. Step 3: Cross multiply
    989.44x = 1,364.55 × 711.50
  4. Step 4: Simplify right side
    989.44x = 970,880.74
  5. Step 5: Solve for x
    x = 970,880.74/989.44
  6. Step 6: Final answer
    x = 981.25

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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.