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Finding the Fourth Proportional to 775.90, 1,070.75 and 421.82

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Solution

The fourth proportional to 775.90, 1,070.75 and 421.82 is: 582.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.90 : 1,070.75 = 421.82 : x
  2. Step 2: Convert to fraction form
    775.90/1,070.75 = 421.82/x
  3. Step 3: Cross multiply
    775.90x = 1,070.75 × 421.82
  4. Step 4: Simplify right side
    775.90x = 451,667.50
  5. Step 5: Solve for x
    x = 451,667.50/775.90
  6. Step 6: Final answer
    x = 582.12

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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.