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Finding the Fourth Proportional to 712.08, 1,074.78 and 712.08

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Solution

The fourth proportional to 712.08, 1,074.78 and 712.08 is: 1,074.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.08 : 1,074.78 = 712.08 : x
  2. Step 2: Convert to fraction form
    712.08/1,074.78 = 712.08/x
  3. Step 3: Cross multiply
    712.08x = 1,074.78 × 712.08
  4. Step 4: Simplify right side
    712.08x = 765,329.34
  5. Step 5: Solve for x
    x = 765,329.34/712.08
  6. Step 6: Final answer
    x = 1,074.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.