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Finding the Fourth Proportional to 2,403.18, 3,604.77 and 579.18

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Solution

The fourth proportional to 2,403.18, 3,604.77 and 579.18 is: 868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.18 : 3,604.77 = 579.18 : x
  2. Step 2: Convert to fraction form
    2,403.18/3,604.77 = 579.18/x
  3. Step 3: Cross multiply
    2,403.18x = 3,604.77 × 579.18
  4. Step 4: Simplify right side
    2,403.18x = 2,087,810.69
  5. Step 5: Solve for x
    x = 2,087,810.69/2,403.18
  6. Step 6: Final answer
    x = 868.77

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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.