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Finding the Fourth Proportional to 715.11, 978.36 and 712.03

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Solution

The fourth proportional to 715.11, 978.36 and 712.03 is: 974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.11 : 978.36 = 712.03 : x
  2. Step 2: Convert to fraction form
    715.11/978.36 = 712.03/x
  3. Step 3: Cross multiply
    715.11x = 978.36 × 712.03
  4. Step 4: Simplify right side
    715.11x = 696,621.67
  5. Step 5: Solve for x
    x = 696,621.67/715.11
  6. Step 6: Final answer
    x = 974.15

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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.