Home / 1,044.27-1,566.57-313.76

Finding the Fourth Proportional to 1,044.27, 1,566.57 and 313.76

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Solution

The fourth proportional to 1,044.27, 1,566.57 and 313.76 is: 470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.27 : 1,566.57 = 313.76 : x
  2. Step 2: Convert to fraction form
    1,044.27/1,566.57 = 313.76/x
  3. Step 3: Cross multiply
    1,044.27x = 1,566.57 × 313.76
  4. Step 4: Simplify right side
    1,044.27x = 491,519.17
  5. Step 5: Solve for x
    x = 491,519.17/1,044.27
  6. Step 6: Final answer
    x = 470.68

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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.