Home / 649.23-973.28-283.73

Finding the Fourth Proportional to 649.23, 973.28 and 283.73

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Solution

The fourth proportional to 649.23, 973.28 and 283.73 is: 425.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.23 : 973.28 = 283.73 : x
  2. Step 2: Convert to fraction form
    649.23/973.28 = 283.73/x
  3. Step 3: Cross multiply
    649.23x = 973.28 × 283.73
  4. Step 4: Simplify right side
    649.23x = 276,147.32
  5. Step 5: Solve for x
    x = 276,147.32/649.23
  6. Step 6: Final answer
    x = 425.35

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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.