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Finding the Fourth Proportional to 1,310.98, 1,966.52 and 386.54

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Solution

The fourth proportional to 1,310.98, 1,966.52 and 386.54 is: 579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.98 : 1,966.52 = 386.54 : x
  2. Step 2: Convert to fraction form
    1,310.98/1,966.52 = 386.54/x
  3. Step 3: Cross multiply
    1,310.98x = 1,966.52 × 386.54
  4. Step 4: Simplify right side
    1,310.98x = 760,138.64
  5. Step 5: Solve for x
    x = 760,138.64/1,310.98
  6. Step 6: Final answer
    x = 579.82

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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.