Home / 1,378.85-2,068.34-405.02

Finding the Fourth Proportional to 1,378.85, 2,068.34 and 405.02

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Solution

The fourth proportional to 1,378.85, 2,068.34 and 405.02 is: 607.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.85 : 2,068.34 = 405.02 : x
  2. Step 2: Convert to fraction form
    1,378.85/2,068.34 = 405.02/x
  3. Step 3: Cross multiply
    1,378.85x = 2,068.34 × 405.02
  4. Step 4: Simplify right side
    1,378.85x = 837,722.21
  5. Step 5: Solve for x
    x = 837,722.21/1,378.85
  6. Step 6: Final answer
    x = 607.55

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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.