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Finding the Fourth Proportional to 1,230.89, 1,698.63 and 671.36

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Solution

The fourth proportional to 1,230.89, 1,698.63 and 671.36 is: 926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.89 : 1,698.63 = 671.36 : x
  2. Step 2: Convert to fraction form
    1,230.89/1,698.63 = 671.36/x
  3. Step 3: Cross multiply
    1,230.89x = 1,698.63 × 671.36
  4. Step 4: Simplify right side
    1,230.89x = 1,140,383.74
  5. Step 5: Solve for x
    x = 1,140,383.74/1,230.89
  6. Step 6: Final answer
    x = 926.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.