Home / 1,517.36-2,274.24-649.84

Finding the Fourth Proportional to 1,517.36, 2,274.24 and 649.84

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Solution

The fourth proportional to 1,517.36, 2,274.24 and 649.84 is: 973.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.36 : 2,274.24 = 649.84 : x
  2. Step 2: Convert to fraction form
    1,517.36/2,274.24 = 649.84/x
  3. Step 3: Cross multiply
    1,517.36x = 2,274.24 × 649.84
  4. Step 4: Simplify right side
    1,517.36x = 1,477,892.12
  5. Step 5: Solve for x
    x = 1,477,892.12/1,517.36
  6. Step 6: Final answer
    x = 973.99

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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.