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Finding the Fourth Proportional to 989.81, 1,362.99 and 709.55

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Solution

The fourth proportional to 989.81, 1,362.99 and 709.55 is: 977.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.81 : 1,362.99 = 709.55 : x
  2. Step 2: Convert to fraction form
    989.81/1,362.99 = 709.55/x
  3. Step 3: Cross multiply
    989.81x = 1,362.99 × 709.55
  4. Step 4: Simplify right side
    989.81x = 967,109.55
  5. Step 5: Solve for x
    x = 967,109.55/989.81
  6. Step 6: Final answer
    x = 977.07

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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.