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Finding the Fourth Proportional to 1,210.51, 1,815.97 and 950.50

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Solution

The fourth proportional to 1,210.51, 1,815.97 and 950.50 is: 1,425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.51 : 1,815.97 = 950.50 : x
  2. Step 2: Convert to fraction form
    1,210.51/1,815.97 = 950.50/x
  3. Step 3: Cross multiply
    1,210.51x = 1,815.97 × 950.50
  4. Step 4: Simplify right side
    1,210.51x = 1,726,079.49
  5. Step 5: Solve for x
    x = 1,726,079.49/1,210.51
  6. Step 6: Final answer
    x = 1,425.91

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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.