Home / 1,340.13-2,009.40-517.74

Finding the Fourth Proportional to 1,340.13, 2,009.40 and 517.74

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Solution

The fourth proportional to 1,340.13, 2,009.40 and 517.74 is: 776.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.13 : 2,009.40 = 517.74 : x
  2. Step 2: Convert to fraction form
    1,340.13/2,009.40 = 517.74/x
  3. Step 3: Cross multiply
    1,340.13x = 2,009.40 × 517.74
  4. Step 4: Simplify right side
    1,340.13x = 1,040,346.76
  5. Step 5: Solve for x
    x = 1,040,346.76/1,340.13
  6. Step 6: Final answer
    x = 776.30

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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.