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Finding the Fourth Proportional to 1,276.40, 1,913.20 and 659.29

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Solution

The fourth proportional to 1,276.40, 1,913.20 and 659.29 is: 988.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.40 : 1,913.20 = 659.29 : x
  2. Step 2: Convert to fraction form
    1,276.40/1,913.20 = 659.29/x
  3. Step 3: Cross multiply
    1,276.40x = 1,913.20 × 659.29
  4. Step 4: Simplify right side
    1,276.40x = 1,261,353.63
  5. Step 5: Solve for x
    x = 1,261,353.63/1,276.40
  6. Step 6: Final answer
    x = 988.21

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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.