Home / 1,044.24-1,566.36-314.34

Finding the Fourth Proportional to 1,044.24, 1,566.36 and 314.34

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Solution

The fourth proportional to 1,044.24, 1,566.36 and 314.34 is: 471.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.24 : 1,566.36 = 314.34 : x
  2. Step 2: Convert to fraction form
    1,044.24/1,566.36 = 314.34/x
  3. Step 3: Cross multiply
    1,044.24x = 1,566.36 × 314.34
  4. Step 4: Simplify right side
    1,044.24x = 492,369.60
  5. Step 5: Solve for x
    x = 492,369.60/1,044.24
  6. Step 6: Final answer
    x = 471.51

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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.