Home / 649.23-973.82-283.94

Finding the Fourth Proportional to 649.23, 973.82 and 283.94

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Solution

The fourth proportional to 649.23, 973.82 and 283.94 is: 425.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.23 : 973.82 = 283.94 : x
  2. Step 2: Convert to fraction form
    649.23/973.82 = 283.94/x
  3. Step 3: Cross multiply
    649.23x = 973.82 × 283.94
  4. Step 4: Simplify right side
    649.23x = 276,502.29
  5. Step 5: Solve for x
    x = 276,502.29/649.23
  6. Step 6: Final answer
    x = 425.89

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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.