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Finding the Fourth Proportional to 1,573.09, 2,359.76 and 418.69

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Solution

The fourth proportional to 1,573.09, 2,359.76 and 418.69 is: 628.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.09 : 2,359.76 = 418.69 : x
  2. Step 2: Convert to fraction form
    1,573.09/2,359.76 = 418.69/x
  3. Step 3: Cross multiply
    1,573.09x = 2,359.76 × 418.69
  4. Step 4: Simplify right side
    1,573.09x = 988,007.91
  5. Step 5: Solve for x
    x = 988,007.91/1,573.09
  6. Step 6: Final answer
    x = 628.07

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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.