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Finding the Fourth Proportional to 969.97, 1,339.76 and 703.99

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Solution

The fourth proportional to 969.97, 1,339.76 and 703.99 is: 972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.97 : 1,339.76 = 703.99 : x
  2. Step 2: Convert to fraction form
    969.97/1,339.76 = 703.99/x
  3. Step 3: Cross multiply
    969.97x = 1,339.76 × 703.99
  4. Step 4: Simplify right side
    969.97x = 943,176.05
  5. Step 5: Solve for x
    x = 943,176.05/969.97
  6. Step 6: Final answer
    x = 972.38

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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.