Home / 1,574.14-2,361.28-419.90

Finding the Fourth Proportional to 1,574.14, 2,361.28 and 419.90

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Solution

The fourth proportional to 1,574.14, 2,361.28 and 419.90 is: 629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.14 : 2,361.28 = 419.90 : x
  2. Step 2: Convert to fraction form
    1,574.14/2,361.28 = 419.90/x
  3. Step 3: Cross multiply
    1,574.14x = 2,361.28 × 419.90
  4. Step 4: Simplify right side
    1,574.14x = 991,501.47
  5. Step 5: Solve for x
    x = 991,501.47/1,574.14
  6. Step 6: Final answer
    x = 629.87

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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.