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Finding the Fourth Proportional to 1,043.87, 1,564.88 and 428.09

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Solution

The fourth proportional to 1,043.87, 1,564.88 and 428.09 is: 641.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.87 : 1,564.88 = 428.09 : x
  2. Step 2: Convert to fraction form
    1,043.87/1,564.88 = 428.09/x
  3. Step 3: Cross multiply
    1,043.87x = 1,564.88 × 428.09
  4. Step 4: Simplify right side
    1,043.87x = 669,899.51
  5. Step 5: Solve for x
    x = 669,899.51/1,043.87
  6. Step 6: Final answer
    x = 641.75

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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.