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Finding the Fourth Proportional to 1,717.75, 2,576.50 and 547.71

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Solution

The fourth proportional to 1,717.75, 2,576.50 and 547.71 is: 821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.75 : 2,576.50 = 547.71 : x
  2. Step 2: Convert to fraction form
    1,717.75/2,576.50 = 547.71/x
  3. Step 3: Cross multiply
    1,717.75x = 2,576.50 × 547.71
  4. Step 4: Simplify right side
    1,717.75x = 1,411,174.82
  5. Step 5: Solve for x
    x = 1,411,174.82/1,717.75
  6. Step 6: Final answer
    x = 821.53

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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.