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Finding the Fourth Proportional to 1,378.41, 2,068.99 and 648.50

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Solution

The fourth proportional to 1,378.41, 2,068.99 and 648.50 is: 973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.41 : 2,068.99 = 648.50 : x
  2. Step 2: Convert to fraction form
    1,378.41/2,068.99 = 648.50/x
  3. Step 3: Cross multiply
    1,378.41x = 2,068.99 × 648.50
  4. Step 4: Simplify right side
    1,378.41x = 1,341,736.77
  5. Step 5: Solve for x
    x = 1,341,736.77/1,378.41
  6. Step 6: Final answer
    x = 973.39

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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.