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Finding the Fourth Proportional to 1,564.35, 2,344.47 and 638.82

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Solution

The fourth proportional to 1,564.35, 2,344.47 and 638.82 is: 957.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.35 : 2,344.47 = 638.82 : x
  2. Step 2: Convert to fraction form
    1,564.35/2,344.47 = 638.82/x
  3. Step 3: Cross multiply
    1,564.35x = 2,344.47 × 638.82
  4. Step 4: Simplify right side
    1,564.35x = 1,497,694.33
  5. Step 5: Solve for x
    x = 1,497,694.33/1,564.35
  6. Step 6: Final answer
    x = 957.39

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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.