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Finding the Fourth Proportional to 1,278.53, 1,914.05 and 971.61

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Solution

The fourth proportional to 1,278.53, 1,914.05 and 971.61 is: 1,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.53 : 1,914.05 = 971.61 : x
  2. Step 2: Convert to fraction form
    1,278.53/1,914.05 = 971.61/x
  3. Step 3: Cross multiply
    1,278.53x = 1,914.05 × 971.61
  4. Step 4: Simplify right side
    1,278.53x = 1,859,712.55
  5. Step 5: Solve for x
    x = 1,859,712.55/1,278.53
  6. Step 6: Final answer
    x = 1,454.57

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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.