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Finding the Fourth Proportional to 990.25, 1,365.61 and 711.87

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Solution

The fourth proportional to 990.25, 1,365.61 and 711.87 is: 981.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.25 : 1,365.61 = 711.87 : x
  2. Step 2: Convert to fraction form
    990.25/1,365.61 = 711.87/x
  3. Step 3: Cross multiply
    990.25x = 1,365.61 × 711.87
  4. Step 4: Simplify right side
    990.25x = 972,136.79
  5. Step 5: Solve for x
    x = 972,136.79/990.25
  6. Step 6: Final answer
    x = 981.71

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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.