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Finding the Fourth Proportional to 1,384.65, 2,076.26 and 653.49

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Solution

The fourth proportional to 1,384.65, 2,076.26 and 653.49 is: 979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.65 : 2,076.26 = 653.49 : x
  2. Step 2: Convert to fraction form
    1,384.65/2,076.26 = 653.49/x
  3. Step 3: Cross multiply
    1,384.65x = 2,076.26 × 653.49
  4. Step 4: Simplify right side
    1,384.65x = 1,356,811.88
  5. Step 5: Solve for x
    x = 1,356,811.88/1,384.65
  6. Step 6: Final answer
    x = 979.90

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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.