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Finding the Fourth Proportional to 771.86, 1,064.12 and 575.04

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Solution

The fourth proportional to 771.86, 1,064.12 and 575.04 is: 792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.86 : 1,064.12 = 575.04 : x
  2. Step 2: Convert to fraction form
    771.86/1,064.12 = 575.04/x
  3. Step 3: Cross multiply
    771.86x = 1,064.12 × 575.04
  4. Step 4: Simplify right side
    771.86x = 611,911.56
  5. Step 5: Solve for x
    x = 611,911.56/771.86
  6. Step 6: Final answer
    x = 792.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.