Home / 1,267.93-1,749.58-802.09

Finding the Fourth Proportional to 1,267.93, 1,749.58 and 802.09

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Solution

The fourth proportional to 1,267.93, 1,749.58 and 802.09 is: 1,106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.93 : 1,749.58 = 802.09 : x
  2. Step 2: Convert to fraction form
    1,267.93/1,749.58 = 802.09/x
  3. Step 3: Cross multiply
    1,267.93x = 1,749.58 × 802.09
  4. Step 4: Simplify right side
    1,267.93x = 1,403,320.62
  5. Step 5: Solve for x
    x = 1,403,320.62/1,267.93
  6. Step 6: Final answer
    x = 1,106.78

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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.