Home / 1,459.20-2,188.35-419.30

Finding the Fourth Proportional to 1,459.20, 2,188.35 and 419.30

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Solution

The fourth proportional to 1,459.20, 2,188.35 and 419.30 is: 628.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.20 : 2,188.35 = 419.30 : x
  2. Step 2: Convert to fraction form
    1,459.20/2,188.35 = 419.30/x
  3. Step 3: Cross multiply
    1,459.20x = 2,188.35 × 419.30
  4. Step 4: Simplify right side
    1,459.20x = 917,564.21
  5. Step 5: Solve for x
    x = 917,564.21/1,459.20
  6. Step 6: Final answer
    x = 628.81

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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.