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Finding the Fourth Proportional to 673.92, 1,012.50 and 651.24

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Solution

The fourth proportional to 673.92, 1,012.50 and 651.24 is: 978.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.92 : 1,012.50 = 651.24 : x
  2. Step 2: Convert to fraction form
    673.92/1,012.50 = 651.24/x
  3. Step 3: Cross multiply
    673.92x = 1,012.50 × 651.24
  4. Step 4: Simplify right side
    673.92x = 659,380.50
  5. Step 5: Solve for x
    x = 659,380.50/673.92
  6. Step 6: Final answer
    x = 978.43

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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.