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Finding the Fourth Proportional to 1,672.81, 2,509.43 and 576.88

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Solution

The fourth proportional to 1,672.81, 2,509.43 and 576.88 is: 865.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.81 : 2,509.43 = 576.88 : x
  2. Step 2: Convert to fraction form
    1,672.81/2,509.43 = 576.88/x
  3. Step 3: Cross multiply
    1,672.81x = 2,509.43 × 576.88
  4. Step 4: Simplify right side
    1,672.81x = 1,447,639.98
  5. Step 5: Solve for x
    x = 1,447,639.98/1,672.81
  6. Step 6: Final answer
    x = 865.39

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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.