Home / 1,574.30-2,361.44-420.05

Finding the Fourth Proportional to 1,574.30, 2,361.44 and 420.05

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Solution

The fourth proportional to 1,574.30, 2,361.44 and 420.05 is: 630.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.30 : 2,361.44 = 420.05 : x
  2. Step 2: Convert to fraction form
    1,574.30/2,361.44 = 420.05/x
  3. Step 3: Cross multiply
    1,574.30x = 2,361.44 × 420.05
  4. Step 4: Simplify right side
    1,574.30x = 991,922.87
  5. Step 5: Solve for x
    x = 991,922.87/1,574.30
  6. Step 6: Final answer
    x = 630.07

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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.