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Finding the Fourth Proportional to 1,953.11, 2,930.27 and 654.63

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Solution

The fourth proportional to 1,953.11, 2,930.27 and 654.63 is: 982.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.11 : 2,930.27 = 654.63 : x
  2. Step 2: Convert to fraction form
    1,953.11/2,930.27 = 654.63/x
  3. Step 3: Cross multiply
    1,953.11x = 2,930.27 × 654.63
  4. Step 4: Simplify right side
    1,953.11x = 1,918,239.38
  5. Step 5: Solve for x
    x = 1,918,239.38/1,953.11
  6. Step 6: Final answer
    x = 982.15

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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.