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Finding the Fourth Proportional to 989.81, 1,365.08 and 711.87

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Solution

The fourth proportional to 989.81, 1,365.08 and 711.87 is: 981.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.81 : 1,365.08 = 711.87 : x
  2. Step 2: Convert to fraction form
    989.81/1,365.08 = 711.87/x
  3. Step 3: Cross multiply
    989.81x = 1,365.08 × 711.87
  4. Step 4: Simplify right side
    989.81x = 971,755.94
  5. Step 5: Solve for x
    x = 971,755.94/989.81
  6. Step 6: Final answer
    x = 981.77

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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.