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Finding the Fourth Proportional to 1,953.19, 2,929.92 and 654.65

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Solution

The fourth proportional to 1,953.19, 2,929.92 and 654.65 is: 982.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.19 : 2,929.92 = 654.65 : x
  2. Step 2: Convert to fraction form
    1,953.19/2,929.92 = 654.65/x
  3. Step 3: Cross multiply
    1,953.19x = 2,929.92 × 654.65
  4. Step 4: Simplify right side
    1,953.19x = 1,918,072.13
  5. Step 5: Solve for x
    x = 1,918,072.13/1,953.19
  6. Step 6: Final answer
    x = 982.02

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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.