Home / 1,289.17-1,932.27-802.54

Finding the Fourth Proportional to 1,289.17, 1,932.27 and 802.54

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Solution

The fourth proportional to 1,289.17, 1,932.27 and 802.54 is: 1,202.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.17 : 1,932.27 = 802.54 : x
  2. Step 2: Convert to fraction form
    1,289.17/1,932.27 = 802.54/x
  3. Step 3: Cross multiply
    1,289.17x = 1,932.27 × 802.54
  4. Step 4: Simplify right side
    1,289.17x = 1,550,723.97
  5. Step 5: Solve for x
    x = 1,550,723.97/1,289.17
  6. Step 6: Final answer
    x = 1,202.89

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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.