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Finding the Fourth Proportional to 957.49, 1,320.23 and 704.27

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Solution

The fourth proportional to 957.49, 1,320.23 and 704.27 is: 971.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.49 : 1,320.23 = 704.27 : x
  2. Step 2: Convert to fraction form
    957.49/1,320.23 = 704.27/x
  3. Step 3: Cross multiply
    957.49x = 1,320.23 × 704.27
  4. Step 4: Simplify right side
    957.49x = 929,803.44
  5. Step 5: Solve for x
    x = 929,803.44/957.49
  6. Step 6: Final answer
    x = 971.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.