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Finding the Fourth Proportional to 775.59, 1,070.32 and 421.52

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Solution

The fourth proportional to 775.59, 1,070.32 and 421.52 is: 581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.59 : 1,070.32 = 421.52 : x
  2. Step 2: Convert to fraction form
    775.59/1,070.32 = 421.52/x
  3. Step 3: Cross multiply
    775.59x = 1,070.32 × 421.52
  4. Step 4: Simplify right side
    775.59x = 451,155.93
  5. Step 5: Solve for x
    x = 451,155.93/775.59
  6. Step 6: Final answer
    x = 581.69

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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.