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Finding the Fourth Proportional to 1,277.12, 1,915.86 and 411.68

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Solution

The fourth proportional to 1,277.12, 1,915.86 and 411.68 is: 617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.12 : 1,915.86 = 411.68 : x
  2. Step 2: Convert to fraction form
    1,277.12/1,915.86 = 411.68/x
  3. Step 3: Cross multiply
    1,277.12x = 1,915.86 × 411.68
  4. Step 4: Simplify right side
    1,277.12x = 788,721.24
  5. Step 5: Solve for x
    x = 788,721.24/1,277.12
  6. Step 6: Final answer
    x = 617.58

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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.