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Finding the Fourth Proportional to 704.80, 952.20 and 704.80

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Solution

The fourth proportional to 704.80, 952.20 and 704.80 is: 952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.80 : 952.20 = 704.80 : x
  2. Step 2: Convert to fraction form
    704.80/952.20 = 704.80/x
  3. Step 3: Cross multiply
    704.80x = 952.20 × 704.80
  4. Step 4: Simplify right side
    704.80x = 671,110.56
  5. Step 5: Solve for x
    x = 671,110.56/704.80
  6. Step 6: Final answer
    x = 952.20

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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.