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Finding the Fourth Proportional to 1,386.07, 2,078.96 and 520.45

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Solution

The fourth proportional to 1,386.07, 2,078.96 and 520.45 is: 780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.07 : 2,078.96 = 520.45 : x
  2. Step 2: Convert to fraction form
    1,386.07/2,078.96 = 520.45/x
  3. Step 3: Cross multiply
    1,386.07x = 2,078.96 × 520.45
  4. Step 4: Simplify right side
    1,386.07x = 1,081,994.73
  5. Step 5: Solve for x
    x = 1,081,994.73/1,386.07
  6. Step 6: Final answer
    x = 780.62

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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.