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Finding the Fourth Proportional to 1,057.57, 1,584.64 and 709.61

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Solution

The fourth proportional to 1,057.57, 1,584.64 and 709.61 is: 1,063.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.57 : 1,584.64 = 709.61 : x
  2. Step 2: Convert to fraction form
    1,057.57/1,584.64 = 709.61/x
  3. Step 3: Cross multiply
    1,057.57x = 1,584.64 × 709.61
  4. Step 4: Simplify right side
    1,057.57x = 1,124,466.69
  5. Step 5: Solve for x
    x = 1,124,466.69/1,057.57
  6. Step 6: Final answer
    x = 1,063.26

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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.