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Finding the Fourth Proportional to 1,220.05, 1,828.05 and 895.51

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Solution

The fourth proportional to 1,220.05, 1,828.05 and 895.51 is: 1,341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.05 : 1,828.05 = 895.51 : x
  2. Step 2: Convert to fraction form
    1,220.05/1,828.05 = 895.51/x
  3. Step 3: Cross multiply
    1,220.05x = 1,828.05 × 895.51
  4. Step 4: Simplify right side
    1,220.05x = 1,637,037.06
  5. Step 5: Solve for x
    x = 1,637,037.06/1,220.05
  6. Step 6: Final answer
    x = 1,341.78

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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.