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Finding the Fourth Proportional to 1,386.33, 2,078.88 and 520.03

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Solution

The fourth proportional to 1,386.33, 2,078.88 and 520.03 is: 779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.33 : 2,078.88 = 520.03 : x
  2. Step 2: Convert to fraction form
    1,386.33/2,078.88 = 520.03/x
  3. Step 3: Cross multiply
    1,386.33x = 2,078.88 × 520.03
  4. Step 4: Simplify right side
    1,386.33x = 1,081,086.46
  5. Step 5: Solve for x
    x = 1,081,086.46/1,386.33
  6. Step 6: Final answer
    x = 779.82

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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.