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Finding the Fourth Proportional to 842.64, 1,263.06 and 408.93

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Solution

The fourth proportional to 842.64, 1,263.06 and 408.93 is: 612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.64 : 1,263.06 = 408.93 : x
  2. Step 2: Convert to fraction form
    842.64/1,263.06 = 408.93/x
  3. Step 3: Cross multiply
    842.64x = 1,263.06 × 408.93
  4. Step 4: Simplify right side
    842.64x = 516,503.13
  5. Step 5: Solve for x
    x = 516,503.13/842.64
  6. Step 6: Final answer
    x = 612.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.