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Finding the Fourth Proportional to 1,277.26, 1,915.74 and 411.50

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Solution

The fourth proportional to 1,277.26, 1,915.74 and 411.50 is: 617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.26 : 1,915.74 = 411.50 : x
  2. Step 2: Convert to fraction form
    1,277.26/1,915.74 = 411.50/x
  3. Step 3: Cross multiply
    1,277.26x = 1,915.74 × 411.50
  4. Step 4: Simplify right side
    1,277.26x = 788,327.01
  5. Step 5: Solve for x
    x = 788,327.01/1,277.26
  6. Step 6: Final answer
    x = 617.20

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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.