Home / 1,420.31-2,130.83-446.42

Finding the Fourth Proportional to 1,420.31, 2,130.83 and 446.42

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Solution

The fourth proportional to 1,420.31, 2,130.83 and 446.42 is: 669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.31 : 2,130.83 = 446.42 : x
  2. Step 2: Convert to fraction form
    1,420.31/2,130.83 = 446.42/x
  3. Step 3: Cross multiply
    1,420.31x = 2,130.83 × 446.42
  4. Step 4: Simplify right side
    1,420.31x = 951,232.24
  5. Step 5: Solve for x
    x = 951,232.24/1,420.31
  6. Step 6: Final answer
    x = 669.74

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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.