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Finding the Fourth Proportional to 673.10, 1,009.51 and 186.04

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Solution

The fourth proportional to 673.10, 1,009.51 and 186.04 is: 279.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.10 : 1,009.51 = 186.04 : x
  2. Step 2: Convert to fraction form
    673.10/1,009.51 = 186.04/x
  3. Step 3: Cross multiply
    673.10x = 1,009.51 × 186.04
  4. Step 4: Simplify right side
    673.10x = 187,806.25
  5. Step 5: Solve for x
    x = 187,806.25/673.10
  6. Step 6: Final answer
    x = 279.02

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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.