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Finding the Fourth Proportional to 673.07, 1,008.12 and 517.86

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Solution

The fourth proportional to 673.07, 1,008.12 and 517.86 is: 775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.07 : 1,008.12 = 517.86 : x
  2. Step 2: Convert to fraction form
    673.07/1,008.12 = 517.86/x
  3. Step 3: Cross multiply
    673.07x = 1,008.12 × 517.86
  4. Step 4: Simplify right side
    673.07x = 522,065.02
  5. Step 5: Solve for x
    x = 522,065.02/673.07
  6. Step 6: Final answer
    x = 775.65

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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.