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Finding the Fourth Proportional to 1,677.14, 2,515.71 and 636.90

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Solution

The fourth proportional to 1,677.14, 2,515.71 and 636.90 is: 955.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.14 : 2,515.71 = 636.90 : x
  2. Step 2: Convert to fraction form
    1,677.14/2,515.71 = 636.90/x
  3. Step 3: Cross multiply
    1,677.14x = 2,515.71 × 636.90
  4. Step 4: Simplify right side
    1,677.14x = 1,602,245.07
  5. Step 5: Solve for x
    x = 1,602,245.07/1,677.14
  6. Step 6: Final answer
    x = 955.34

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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.