Home / 1,044.49-1,566.64-314.23

Finding the Fourth Proportional to 1,044.49, 1,566.64 and 314.23

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Solution

The fourth proportional to 1,044.49, 1,566.64 and 314.23 is: 471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.49 : 1,566.64 = 314.23 : x
  2. Step 2: Convert to fraction form
    1,044.49/1,566.64 = 314.23/x
  3. Step 3: Cross multiply
    1,044.49x = 1,566.64 × 314.23
  4. Step 4: Simplify right side
    1,044.49x = 492,285.29
  5. Step 5: Solve for x
    x = 492,285.29/1,044.49
  6. Step 6: Final answer
    x = 471.32

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Double scale
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1.5x scale

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.