Home / 1,575.14-2,362.78-420.90

Finding the Fourth Proportional to 1,575.14, 2,362.78 and 420.90

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Solution

The fourth proportional to 1,575.14, 2,362.78 and 420.90 is: 631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.14 : 2,362.78 = 420.90 : x
  2. Step 2: Convert to fraction form
    1,575.14/2,362.78 = 420.90/x
  3. Step 3: Cross multiply
    1,575.14x = 2,362.78 × 420.90
  4. Step 4: Simplify right side
    1,575.14x = 994,494.10
  5. Step 5: Solve for x
    x = 994,494.10/1,575.14
  6. Step 6: Final answer
    x = 631.37

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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.