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Finding the Fourth Proportional to 1,702.17, 2,553.81 and 824.78

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Solution

The fourth proportional to 1,702.17, 2,553.81 and 824.78 is: 1,237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.17 : 2,553.81 = 824.78 : x
  2. Step 2: Convert to fraction form
    1,702.17/2,553.81 = 824.78/x
  3. Step 3: Cross multiply
    1,702.17x = 2,553.81 × 824.78
  4. Step 4: Simplify right side
    1,702.17x = 2,106,331.41
  5. Step 5: Solve for x
    x = 2,106,331.41/1,702.17
  6. Step 6: Final answer
    x = 1,237.44

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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.