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Finding the Fourth Proportional to 1,885.87, 2,828.84 and 653.32

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Solution

The fourth proportional to 1,885.87, 2,828.84 and 653.32 is: 979.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.87 : 2,828.84 = 653.32 : x
  2. Step 2: Convert to fraction form
    1,885.87/2,828.84 = 653.32/x
  3. Step 3: Cross multiply
    1,885.87x = 2,828.84 × 653.32
  4. Step 4: Simplify right side
    1,885.87x = 1,848,129.86
  5. Step 5: Solve for x
    x = 1,848,129.86/1,885.87
  6. Step 6: Final answer
    x = 979.99

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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.