Home / 1,418.08-2,128.56-649.12

Finding the Fourth Proportional to 1,418.08, 2,128.56 and 649.12

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Solution

The fourth proportional to 1,418.08, 2,128.56 and 649.12 is: 974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.08 : 2,128.56 = 649.12 : x
  2. Step 2: Convert to fraction form
    1,418.08/2,128.56 = 649.12/x
  3. Step 3: Cross multiply
    1,418.08x = 2,128.56 × 649.12
  4. Step 4: Simplify right side
    1,418.08x = 1,381,690.87
  5. Step 5: Solve for x
    x = 1,381,690.87/1,418.08
  6. Step 6: Final answer
    x = 974.34

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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.