Home / 1,619.70-2,428.80-465.18

Finding the Fourth Proportional to 1,619.70, 2,428.80 and 465.18

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Solution

The fourth proportional to 1,619.70, 2,428.80 and 465.18 is: 697.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.70 : 2,428.80 = 465.18 : x
  2. Step 2: Convert to fraction form
    1,619.70/2,428.80 = 465.18/x
  3. Step 3: Cross multiply
    1,619.70x = 2,428.80 × 465.18
  4. Step 4: Simplify right side
    1,619.70x = 1,129,829.18
  5. Step 5: Solve for x
    x = 1,129,829.18/1,619.70
  6. Step 6: Final answer
    x = 697.55

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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.