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Finding the Fourth Proportional to 1,654.50, 2,482.90 and 628.50

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Solution

The fourth proportional to 1,654.50, 2,482.90 and 628.50 is: 943.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.50 : 2,482.90 = 628.50 : x
  2. Step 2: Convert to fraction form
    1,654.50/2,482.90 = 628.50/x
  3. Step 3: Cross multiply
    1,654.50x = 2,482.90 × 628.50
  4. Step 4: Simplify right side
    1,654.50x = 1,560,502.65
  5. Step 5: Solve for x
    x = 1,560,502.65/1,654.50
  6. Step 6: Final answer
    x = 943.19

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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.