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Finding the Fourth Proportional to 1,310.78, 1,966.19 and 336.86

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Solution

The fourth proportional to 1,310.78, 1,966.19 and 336.86 is: 505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.78 : 1,966.19 = 336.86 : x
  2. Step 2: Convert to fraction form
    1,310.78/1,966.19 = 336.86/x
  3. Step 3: Cross multiply
    1,310.78x = 1,966.19 × 336.86
  4. Step 4: Simplify right side
    1,310.78x = 662,330.76
  5. Step 5: Solve for x
    x = 662,330.76/1,310.78
  6. Step 6: Final answer
    x = 505.30

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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.