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Finding the Fourth Proportional to 1,440.74, 2,159.23 and 660.46

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Solution

The fourth proportional to 1,440.74, 2,159.23 and 660.46 is: 989.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.74 : 2,159.23 = 660.46 : x
  2. Step 2: Convert to fraction form
    1,440.74/2,159.23 = 660.46/x
  3. Step 3: Cross multiply
    1,440.74x = 2,159.23 × 660.46
  4. Step 4: Simplify right side
    1,440.74x = 1,426,085.05
  5. Step 5: Solve for x
    x = 1,426,085.05/1,440.74
  6. Step 6: Final answer
    x = 989.83

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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.