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Finding the Fourth Proportional to 671.40, 1,004.64 and 619.76

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Solution

The fourth proportional to 671.40, 1,004.64 and 619.76 is: 927.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.40 : 1,004.64 = 619.76 : x
  2. Step 2: Convert to fraction form
    671.40/1,004.64 = 619.76/x
  3. Step 3: Cross multiply
    671.40x = 1,004.64 × 619.76
  4. Step 4: Simplify right side
    671.40x = 622,635.69
  5. Step 5: Solve for x
    x = 622,635.69/671.40
  6. Step 6: Final answer
    x = 927.37

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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.