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Finding the Fourth Proportional to 1,216.71, 1,821.83 and 955.35

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Solution

The fourth proportional to 1,216.71, 1,821.83 and 955.35 is: 1,430.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.71 : 1,821.83 = 955.35 : x
  2. Step 2: Convert to fraction form
    1,216.71/1,821.83 = 955.35/x
  3. Step 3: Cross multiply
    1,216.71x = 1,821.83 × 955.35
  4. Step 4: Simplify right side
    1,216.71x = 1,740,480.51
  5. Step 5: Solve for x
    x = 1,740,480.51/1,216.71
  6. Step 6: Final answer
    x = 1,430.48

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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.