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Finding the Fourth Proportional to 1,787.98, 2,681.00 and 538.39

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Solution

The fourth proportional to 1,787.98, 2,681.00 and 538.39 is: 807.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.98 : 2,681.00 = 538.39 : x
  2. Step 2: Convert to fraction form
    1,787.98/2,681.00 = 538.39/x
  3. Step 3: Cross multiply
    1,787.98x = 2,681.00 × 538.39
  4. Step 4: Simplify right side
    1,787.98x = 1,443,426.27
  5. Step 5: Solve for x
    x = 1,443,426.27/1,787.98
  6. Step 6: Final answer
    x = 807.29

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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.