Home / 1,044.21-1,566.08-313.84

Finding the Fourth Proportional to 1,044.21, 1,566.08 and 313.84

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Solution

The fourth proportional to 1,044.21, 1,566.08 and 313.84 is: 470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.21 : 1,566.08 = 313.84 : x
  2. Step 2: Convert to fraction form
    1,044.21/1,566.08 = 313.84/x
  3. Step 3: Cross multiply
    1,044.21x = 1,566.08 × 313.84
  4. Step 4: Simplify right side
    1,044.21x = 491,498.55
  5. Step 5: Solve for x
    x = 491,498.55/1,044.21
  6. Step 6: Final answer
    x = 470.69

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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.