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Finding the Fourth Proportional to 1,378.64, 2,068.02 and 391.52

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Solution

The fourth proportional to 1,378.64, 2,068.02 and 391.52 is: 587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.64 : 2,068.02 = 391.52 : x
  2. Step 2: Convert to fraction form
    1,378.64/2,068.02 = 391.52/x
  3. Step 3: Cross multiply
    1,378.64x = 2,068.02 × 391.52
  4. Step 4: Simplify right side
    1,378.64x = 809,671.19
  5. Step 5: Solve for x
    x = 809,671.19/1,378.64
  6. Step 6: Final answer
    x = 587.30

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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.