Home / 1,044.06-1,566.38-313.66

Finding the Fourth Proportional to 1,044.06, 1,566.38 and 313.66

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Solution

The fourth proportional to 1,044.06, 1,566.38 and 313.66 is: 470.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.06 : 1,566.38 = 313.66 : x
  2. Step 2: Convert to fraction form
    1,044.06/1,566.38 = 313.66/x
  3. Step 3: Cross multiply
    1,044.06x = 1,566.38 × 313.66
  4. Step 4: Simplify right side
    1,044.06x = 491,310.75
  5. Step 5: Solve for x
    x = 491,310.75/1,044.06
  6. Step 6: Final answer
    x = 470.58

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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.