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Finding the Fourth Proportional to 2,310.50, 3,465.50 and 579.12

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Solution

The fourth proportional to 2,310.50, 3,465.50 and 579.12 is: 868.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.50 : 3,465.50 = 579.12 : x
  2. Step 2: Convert to fraction form
    2,310.50/3,465.50 = 579.12/x
  3. Step 3: Cross multiply
    2,310.50x = 3,465.50 × 579.12
  4. Step 4: Simplify right side
    2,310.50x = 2,006,940.36
  5. Step 5: Solve for x
    x = 2,006,940.36/2,310.50
  6. Step 6: Final answer
    x = 868.62

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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.