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Finding the Fourth Proportional to 1,405.46, 2,109.45 and 675.29

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Solution

The fourth proportional to 1,405.46, 2,109.45 and 675.29 is: 1,013.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.46 : 2,109.45 = 675.29 : x
  2. Step 2: Convert to fraction form
    1,405.46/2,109.45 = 675.29/x
  3. Step 3: Cross multiply
    1,405.46x = 2,109.45 × 675.29
  4. Step 4: Simplify right side
    1,405.46x = 1,424,490.49
  5. Step 5: Solve for x
    x = 1,424,490.49/1,405.46
  6. Step 6: Final answer
    x = 1,013.54

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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.