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Finding the Fourth Proportional to 1,675.74, 2,512.80 and 579.72

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Solution

The fourth proportional to 1,675.74, 2,512.80 and 579.72 is: 869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.74 : 2,512.80 = 579.72 : x
  2. Step 2: Convert to fraction form
    1,675.74/2,512.80 = 579.72/x
  3. Step 3: Cross multiply
    1,675.74x = 2,512.80 × 579.72
  4. Step 4: Simplify right side
    1,675.74x = 1,456,720.42
  5. Step 5: Solve for x
    x = 1,456,720.42/1,675.74
  6. Step 6: Final answer
    x = 869.30

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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.