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Finding the Fourth Proportional to 704.71, 1,053.96 and 640.12

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Solution

The fourth proportional to 704.71, 1,053.96 and 640.12 is: 957.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.71 : 1,053.96 = 640.12 : x
  2. Step 2: Convert to fraction form
    704.71/1,053.96 = 640.12/x
  3. Step 3: Cross multiply
    704.71x = 1,053.96 × 640.12
  4. Step 4: Simplify right side
    704.71x = 674,660.88
  5. Step 5: Solve for x
    x = 674,660.88/704.71
  6. Step 6: Final answer
    x = 957.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.