Home / 1,403.12-2,104.86-478.43

Finding the Fourth Proportional to 1,403.12, 2,104.86 and 478.43

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Solution

The fourth proportional to 1,403.12, 2,104.86 and 478.43 is: 717.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.12 : 2,104.86 = 478.43 : x
  2. Step 2: Convert to fraction form
    1,403.12/2,104.86 = 478.43/x
  3. Step 3: Cross multiply
    1,403.12x = 2,104.86 × 478.43
  4. Step 4: Simplify right side
    1,403.12x = 1,007,020.10
  5. Step 5: Solve for x
    x = 1,007,020.10/1,403.12
  6. Step 6: Final answer
    x = 717.70

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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.