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Finding the Fourth Proportional to 1,276.74, 1,915.32 and 411

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Solution

The fourth proportional to 1,276.74, 1,915.32 and 411 is: 616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.74 : 1,915.32 = 411 : x
  2. Step 2: Convert to fraction form
    1,276.74/1,915.32 = 411/x
  3. Step 3: Cross multiply
    1,276.74x = 1,915.32 × 411
  4. Step 4: Simplify right side
    1,276.74x = 787,196.52
  5. Step 5: Solve for x
    x = 787,196.52/1,276.74
  6. Step 6: Final answer
    x = 616.57

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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.