Home / 1,484.90-2,227.30-705.27

Finding the Fourth Proportional to 1,484.90, 2,227.30 and 705.27

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Solution

The fourth proportional to 1,484.90, 2,227.30 and 705.27 is: 1,057.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.90 : 2,227.30 = 705.27 : x
  2. Step 2: Convert to fraction form
    1,484.90/2,227.30 = 705.27/x
  3. Step 3: Cross multiply
    1,484.90x = 2,227.30 × 705.27
  4. Step 4: Simplify right side
    1,484.90x = 1,570,854.46
  5. Step 5: Solve for x
    x = 1,570,854.46/1,484.90
  6. Step 6: Final answer
    x = 1,057.89

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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.