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Finding the Fourth Proportional to 1,386.94, 2,080.50 and 521.27

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Solution

The fourth proportional to 1,386.94, 2,080.50 and 521.27 is: 781.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.94 : 2,080.50 = 521.27 : x
  2. Step 2: Convert to fraction form
    1,386.94/2,080.50 = 521.27/x
  3. Step 3: Cross multiply
    1,386.94x = 2,080.50 × 521.27
  4. Step 4: Simplify right side
    1,386.94x = 1,084,502.24
  5. Step 5: Solve for x
    x = 1,084,502.24/1,386.94
  6. Step 6: Final answer
    x = 781.94

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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.