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Finding the Fourth Proportional to 1,378.97, 2,068.52 and 405.08

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Solution

The fourth proportional to 1,378.97, 2,068.52 and 405.08 is: 607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.97 : 2,068.52 = 405.08 : x
  2. Step 2: Convert to fraction form
    1,378.97/2,068.52 = 405.08/x
  3. Step 3: Cross multiply
    1,378.97x = 2,068.52 × 405.08
  4. Step 4: Simplify right side
    1,378.97x = 837,903.71
  5. Step 5: Solve for x
    x = 837,903.71/1,378.97
  6. Step 6: Final answer
    x = 607.63

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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.