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Finding the Fourth Proportional to 1,678.48, 2,516.56 and 638.55

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Solution

The fourth proportional to 1,678.48, 2,516.56 and 638.55 is: 957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.48 : 2,516.56 = 638.55 : x
  2. Step 2: Convert to fraction form
    1,678.48/2,516.56 = 638.55/x
  3. Step 3: Cross multiply
    1,678.48x = 2,516.56 × 638.55
  4. Step 4: Simplify right side
    1,678.48x = 1,606,949.39
  5. Step 5: Solve for x
    x = 1,606,949.39/1,678.48
  6. Step 6: Final answer
    x = 957.38

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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.