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Finding the Fourth Proportional to 1,289.52, 1,935.04 and 704.52

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Solution

The fourth proportional to 1,289.52, 1,935.04 and 704.52 is: 1,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.52 : 1,935.04 = 704.52 : x
  2. Step 2: Convert to fraction form
    1,289.52/1,935.04 = 704.52/x
  3. Step 3: Cross multiply
    1,289.52x = 1,935.04 × 704.52
  4. Step 4: Simplify right side
    1,289.52x = 1,363,274.38
  5. Step 5: Solve for x
    x = 1,363,274.38/1,289.52
  6. Step 6: Final answer
    x = 1,057.20

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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.