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Finding the Fourth Proportional to 1,308.84, 1,960.84 and 760.02

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Solution

The fourth proportional to 1,308.84, 1,960.84 and 760.02 is: 1,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.84 : 1,960.84 = 760.02 : x
  2. Step 2: Convert to fraction form
    1,308.84/1,960.84 = 760.02/x
  3. Step 3: Cross multiply
    1,308.84x = 1,960.84 × 760.02
  4. Step 4: Simplify right side
    1,308.84x = 1,490,277.62
  5. Step 5: Solve for x
    x = 1,490,277.62/1,308.84
  6. Step 6: Final answer
    x = 1,138.62

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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.