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Finding the Fourth Proportional to 1,405.40, 2,108.70 and 755.38

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Solution

The fourth proportional to 1,405.40, 2,108.70 and 755.38 is: 1,133.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.40 : 2,108.70 = 755.38 : x
  2. Step 2: Convert to fraction form
    1,405.40/2,108.70 = 755.38/x
  3. Step 3: Cross multiply
    1,405.40x = 2,108.70 × 755.38
  4. Step 4: Simplify right side
    1,405.40x = 1,592,869.81
  5. Step 5: Solve for x
    x = 1,592,869.81/1,405.40
  6. Step 6: Final answer
    x = 1,133.39

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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.