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Finding the Fourth Proportional to 1,677.98, 2,515.81 and 638.05

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Solution

The fourth proportional to 1,677.98, 2,515.81 and 638.05 is: 956.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.98 : 2,515.81 = 638.05 : x
  2. Step 2: Convert to fraction form
    1,677.98/2,515.81 = 638.05/x
  3. Step 3: Cross multiply
    1,677.98x = 2,515.81 × 638.05
  4. Step 4: Simplify right side
    1,677.98x = 1,605,212.57
  5. Step 5: Solve for x
    x = 1,605,212.57/1,677.98
  6. Step 6: Final answer
    x = 956.63

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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.