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Finding the Fourth Proportional to 1,378.50, 2,068.02 and 454.11

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Solution

The fourth proportional to 1,378.50, 2,068.02 and 454.11 is: 681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.50 : 2,068.02 = 454.11 : x
  2. Step 2: Convert to fraction form
    1,378.50/2,068.02 = 454.11/x
  3. Step 3: Cross multiply
    1,378.50x = 2,068.02 × 454.11
  4. Step 4: Simplify right side
    1,378.50x = 939,108.56
  5. Step 5: Solve for x
    x = 939,108.56/1,378.50
  6. Step 6: Final answer
    x = 681.25

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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.