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Finding the Fourth Proportional to 1,230.37, 1,698.02 and 758.58

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Solution

The fourth proportional to 1,230.37, 1,698.02 and 758.58 is: 1,046.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.37 : 1,698.02 = 758.58 : x
  2. Step 2: Convert to fraction form
    1,230.37/1,698.02 = 758.58/x
  3. Step 3: Cross multiply
    1,230.37x = 1,698.02 × 758.58
  4. Step 4: Simplify right side
    1,230.37x = 1,288,084.01
  5. Step 5: Solve for x
    x = 1,288,084.01/1,230.37
  6. Step 6: Final answer
    x = 1,046.91

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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.