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Finding the Fourth Proportional to 1,953.95, 2,930.59 and 637.73

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Solution

The fourth proportional to 1,953.95, 2,930.59 and 637.73 is: 956.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.95 : 2,930.59 = 637.73 : x
  2. Step 2: Convert to fraction form
    1,953.95/2,930.59 = 637.73/x
  3. Step 3: Cross multiply
    1,953.95x = 2,930.59 × 637.73
  4. Step 4: Simplify right side
    1,953.95x = 1,868,908.91
  5. Step 5: Solve for x
    x = 1,868,908.91/1,953.95
  6. Step 6: Final answer
    x = 956.48

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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.