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Finding the Fourth Proportional to 715.14, 980.21 and 712.04

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Solution

The fourth proportional to 715.14, 980.21 and 712.04 is: 975.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.14 : 980.21 = 712.04 : x
  2. Step 2: Convert to fraction form
    715.14/980.21 = 712.04/x
  3. Step 3: Cross multiply
    715.14x = 980.21 × 712.04
  4. Step 4: Simplify right side
    715.14x = 697,940.27
  5. Step 5: Solve for x
    x = 697,940.27/715.14
  6. Step 6: Final answer
    x = 975.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.