Home / 1,044.19-1,566.53-313.79

Finding the Fourth Proportional to 1,044.19, 1,566.53 and 313.79

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Solution

The fourth proportional to 1,044.19, 1,566.53 and 313.79 is: 470.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.19 : 1,566.53 = 313.79 : x
  2. Step 2: Convert to fraction form
    1,044.19/1,566.53 = 313.79/x
  3. Step 3: Cross multiply
    1,044.19x = 1,566.53 × 313.79
  4. Step 4: Simplify right side
    1,044.19x = 491,561.45
  5. Step 5: Solve for x
    x = 491,561.45/1,044.19
  6. Step 6: Final answer
    x = 470.76

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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.