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Finding the Fourth Proportional to 1,655.08, 2,482.94 and 629

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Solution

The fourth proportional to 1,655.08, 2,482.94 and 629 is: 943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.08 : 2,482.94 = 629 : x
  2. Step 2: Convert to fraction form
    1,655.08/2,482.94 = 629/x
  3. Step 3: Cross multiply
    1,655.08x = 2,482.94 × 629
  4. Step 4: Simplify right side
    1,655.08x = 1,561,769.26
  5. Step 5: Solve for x
    x = 1,561,769.26/1,655.08
  6. Step 6: Final answer
    x = 943.62

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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.