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Finding the Fourth Proportional to 1,314, 1,800.20 and 1,264.80

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Solution

The fourth proportional to 1,314, 1,800.20 and 1,264.80 is: 1,732.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314 : 1,800.20 = 1,264.80 : x
  2. Step 2: Convert to fraction form
    1,314/1,800.20 = 1,264.80/x
  3. Step 3: Cross multiply
    1,314x = 1,800.20 × 1,264.80
  4. Step 4: Simplify right side
    1,314x = 2,276,892.96
  5. Step 5: Solve for x
    x = 2,276,892.96/1,314
  6. Step 6: Final answer
    x = 1,732.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.