Home / 1,044.55-1,566.51-314.20

Finding the Fourth Proportional to 1,044.55, 1,566.51 and 314.20

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Solution

The fourth proportional to 1,044.55, 1,566.51 and 314.20 is: 471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.55 : 1,566.51 = 314.20 : x
  2. Step 2: Convert to fraction form
    1,044.55/1,566.51 = 314.20/x
  3. Step 3: Cross multiply
    1,044.55x = 1,566.51 × 314.20
  4. Step 4: Simplify right side
    1,044.55x = 492,197.44
  5. Step 5: Solve for x
    x = 492,197.44/1,044.55
  6. Step 6: Final answer
    x = 471.21

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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.