Home / 1,206.25-1,665.33-802.80

Finding the Fourth Proportional to 1,206.25, 1,665.33 and 802.80

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Solution

The fourth proportional to 1,206.25, 1,665.33 and 802.80 is: 1,108.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.25 : 1,665.33 = 802.80 : x
  2. Step 2: Convert to fraction form
    1,206.25/1,665.33 = 802.80/x
  3. Step 3: Cross multiply
    1,206.25x = 1,665.33 × 802.80
  4. Step 4: Simplify right side
    1,206.25x = 1,336,923.27
  5. Step 5: Solve for x
    x = 1,336,923.27/1,206.25
  6. Step 6: Final answer
    x = 1,108.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.