Home / 1,403.55-2,102.63-785.38

Finding the Fourth Proportional to 1,403.55, 2,102.63 and 785.38

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Solution

The fourth proportional to 1,403.55, 2,102.63 and 785.38 is: 1,176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.55 : 2,102.63 = 785.38 : x
  2. Step 2: Convert to fraction form
    1,403.55/2,102.63 = 785.38/x
  3. Step 3: Cross multiply
    1,403.55x = 2,102.63 × 785.38
  4. Step 4: Simplify right side
    1,403.55x = 1,651,363.55
  5. Step 5: Solve for x
    x = 1,651,363.55/1,403.55
  6. Step 6: Final answer
    x = 1,176.56

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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.