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Finding the Fourth Proportional to 1,230.69, 1,699.56 and 1,052.62

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Solution

The fourth proportional to 1,230.69, 1,699.56 and 1,052.62 is: 1,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.69 : 1,699.56 = 1,052.62 : x
  2. Step 2: Convert to fraction form
    1,230.69/1,699.56 = 1,052.62/x
  3. Step 3: Cross multiply
    1,230.69x = 1,699.56 × 1,052.62
  4. Step 4: Simplify right side
    1,230.69x = 1,788,990.85
  5. Step 5: Solve for x
    x = 1,788,990.85/1,230.69
  6. Step 6: Final answer
    x = 1,453.65

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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.