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Finding the Fourth Proportional to 1,857.76, 2,787.05 and 559.33

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Solution

The fourth proportional to 1,857.76, 2,787.05 and 559.33 is: 839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.76 : 2,787.05 = 559.33 : x
  2. Step 2: Convert to fraction form
    1,857.76/2,787.05 = 559.33/x
  3. Step 3: Cross multiply
    1,857.76x = 2,787.05 × 559.33
  4. Step 4: Simplify right side
    1,857.76x = 1,558,875.11
  5. Step 5: Solve for x
    x = 1,558,875.11/1,857.76
  6. Step 6: Final answer
    x = 839.12

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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.