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Finding the Fourth Proportional to 1,004.10, 1,507.50 and 676.14

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Solution

The fourth proportional to 1,004.10, 1,507.50 and 676.14 is: 1,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.10 : 1,507.50 = 676.14 : x
  2. Step 2: Convert to fraction form
    1,004.10/1,507.50 = 676.14/x
  3. Step 3: Cross multiply
    1,004.10x = 1,507.50 × 676.14
  4. Step 4: Simplify right side
    1,004.10x = 1,019,281.05
  5. Step 5: Solve for x
    x = 1,019,281.05/1,004.10
  6. Step 6: Final answer
    x = 1,015.12

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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.