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Finding the Fourth Proportional to 771.17, 1,064.17 and 421.79

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Solution

The fourth proportional to 771.17, 1,064.17 and 421.79 is: 582.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.17 : 1,064.17 = 421.79 : x
  2. Step 2: Convert to fraction form
    771.17/1,064.17 = 421.79/x
  3. Step 3: Cross multiply
    771.17x = 1,064.17 × 421.79
  4. Step 4: Simplify right side
    771.17x = 448,856.26
  5. Step 5: Solve for x
    x = 448,856.26/771.17
  6. Step 6: Final answer
    x = 582.05

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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.