Home / 1,044.66-1,566.45-314.13

Finding the Fourth Proportional to 1,044.66, 1,566.45 and 314.13

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Solution

The fourth proportional to 1,044.66, 1,566.45 and 314.13 is: 471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.66 : 1,566.45 = 314.13 : x
  2. Step 2: Convert to fraction form
    1,044.66/1,566.45 = 314.13/x
  3. Step 3: Cross multiply
    1,044.66x = 1,566.45 × 314.13
  4. Step 4: Simplify right side
    1,044.66x = 492,068.94
  5. Step 5: Solve for x
    x = 492,068.94/1,044.66
  6. Step 6: Final answer
    x = 471.03

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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.