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Finding the Fourth Proportional to 1,162.90, 1,744.01 and 340.98

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Solution

The fourth proportional to 1,162.90, 1,744.01 and 340.98 is: 511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.90 : 1,744.01 = 340.98 : x
  2. Step 2: Convert to fraction form
    1,162.90/1,744.01 = 340.98/x
  3. Step 3: Cross multiply
    1,162.90x = 1,744.01 × 340.98
  4. Step 4: Simplify right side
    1,162.90x = 594,664.60
  5. Step 5: Solve for x
    x = 594,664.60/1,162.90
  6. Step 6: Final answer
    x = 511.36

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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.