Home / 1,440.23-2,158.98-709.41

Finding the Fourth Proportional to 1,440.23, 2,158.98 and 709.41

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Solution

The fourth proportional to 1,440.23, 2,158.98 and 709.41 is: 1,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.23 : 2,158.98 = 709.41 : x
  2. Step 2: Convert to fraction form
    1,440.23/2,158.98 = 709.41/x
  3. Step 3: Cross multiply
    1,440.23x = 2,158.98 × 709.41
  4. Step 4: Simplify right side
    1,440.23x = 1,531,597.29
  5. Step 5: Solve for x
    x = 1,531,597.29/1,440.23
  6. Step 6: Final answer
    x = 1,063.44

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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.