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Finding the Fourth Proportional to 1,573.34, 2,359.98 and 419.09

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Solution

The fourth proportional to 1,573.34, 2,359.98 and 419.09 is: 628.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.34 : 2,359.98 = 419.09 : x
  2. Step 2: Convert to fraction form
    1,573.34/2,359.98 = 419.09/x
  3. Step 3: Cross multiply
    1,573.34x = 2,359.98 × 419.09
  4. Step 4: Simplify right side
    1,573.34x = 989,032.22
  5. Step 5: Solve for x
    x = 989,032.22/1,573.34
  6. Step 6: Final answer
    x = 628.62

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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.