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Finding the Fourth Proportional to 704.30, 984.10 and 704.30

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Solution

The fourth proportional to 704.30, 984.10 and 704.30 is: 984.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.30 : 984.10 = 704.30 : x
  2. Step 2: Convert to fraction form
    704.30/984.10 = 704.30/x
  3. Step 3: Cross multiply
    704.30x = 984.10 × 704.30
  4. Step 4: Simplify right side
    704.30x = 693,101.63
  5. Step 5: Solve for x
    x = 693,101.63/704.30
  6. Step 6: Final answer
    x = 984.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.