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Finding the Fourth Proportional to 673.80, 906.75 and 673.80

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Solution

The fourth proportional to 673.80, 906.75 and 673.80 is: 906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.80 : 906.75 = 673.80 : x
  2. Step 2: Convert to fraction form
    673.80/906.75 = 673.80/x
  3. Step 3: Cross multiply
    673.80x = 906.75 × 673.80
  4. Step 4: Simplify right side
    673.80x = 610,968.15
  5. Step 5: Solve for x
    x = 610,968.15/673.80
  6. Step 6: Final answer
    x = 906.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.