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Finding the Fourth Proportional to 1,276.92, 1,915.56 and 618.26

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Solution

The fourth proportional to 1,276.92, 1,915.56 and 618.26 is: 927.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.92 : 1,915.56 = 618.26 : x
  2. Step 2: Convert to fraction form
    1,276.92/1,915.56 = 618.26/x
  3. Step 3: Cross multiply
    1,276.92x = 1,915.56 × 618.26
  4. Step 4: Simplify right side
    1,276.92x = 1,184,308.07
  5. Step 5: Solve for x
    x = 1,184,308.07/1,276.92
  6. Step 6: Final answer
    x = 927.47

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1.5x scale

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.