Home / 1,403.80-2,105.43-526.13

Finding the Fourth Proportional to 1,403.80, 2,105.43 and 526.13

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Solution

The fourth proportional to 1,403.80, 2,105.43 and 526.13 is: 789.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.80 : 2,105.43 = 526.13 : x
  2. Step 2: Convert to fraction form
    1,403.80/2,105.43 = 526.13/x
  3. Step 3: Cross multiply
    1,403.80x = 2,105.43 × 526.13
  4. Step 4: Simplify right side
    1,403.80x = 1,107,725.28
  5. Step 5: Solve for x
    x = 1,107,725.28/1,403.80
  6. Step 6: Final answer
    x = 789.09

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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.