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Finding the Fourth Proportional to 1,319.37, 1,978.14 and 669.66

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Solution

The fourth proportional to 1,319.37, 1,978.14 and 669.66 is: 1,004.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.37 : 1,978.14 = 669.66 : x
  2. Step 2: Convert to fraction form
    1,319.37/1,978.14 = 669.66/x
  3. Step 3: Cross multiply
    1,319.37x = 1,978.14 × 669.66
  4. Step 4: Simplify right side
    1,319.37x = 1,324,681.23
  5. Step 5: Solve for x
    x = 1,324,681.23/1,319.37
  6. Step 6: Final answer
    x = 1,004.03

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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.