Home / 1,459.16-2,189.08-419.18

Finding the Fourth Proportional to 1,459.16, 2,189.08 and 419.18

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Solution

The fourth proportional to 1,459.16, 2,189.08 and 419.18 is: 628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.16 : 2,189.08 = 419.18 : x
  2. Step 2: Convert to fraction form
    1,459.16/2,189.08 = 419.18/x
  3. Step 3: Cross multiply
    1,459.16x = 2,189.08 × 419.18
  4. Step 4: Simplify right side
    1,459.16x = 917,618.55
  5. Step 5: Solve for x
    x = 917,618.55/1,459.16
  6. Step 6: Final answer
    x = 628.87

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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.