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Finding the Fourth Proportional to 1,550.90, 2,337.02 and 1,283.00

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Solution

The fourth proportional to 1,550.90, 2,337.02 and 1,283.00 is: 1,933.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.90 : 2,337.02 = 1,283.00 : x
  2. Step 2: Convert to fraction form
    1,550.90/2,337.02 = 1,283.00/x
  3. Step 3: Cross multiply
    1,550.90x = 2,337.02 × 1,283.00
  4. Step 4: Simplify right side
    1,550.90x = 2,998,383.37
  5. Step 5: Solve for x
    x = 2,998,383.37/1,550.90
  6. Step 6: Final answer
    x = 1,933.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.