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Finding the Fourth Proportional to 775.52, 1,070.18 and 421.43

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Solution

The fourth proportional to 775.52, 1,070.18 and 421.43 is: 581.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.52 : 1,070.18 = 421.43 : x
  2. Step 2: Convert to fraction form
    775.52/1,070.18 = 421.43/x
  3. Step 3: Cross multiply
    775.52x = 1,070.18 × 421.43
  4. Step 4: Simplify right side
    775.52x = 451,001.66
  5. Step 5: Solve for x
    x = 451,001.66/775.52
  6. Step 6: Final answer
    x = 581.55

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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.