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Finding the Fourth Proportional to 708.12, 1,063.26 and 420.84

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Solution

The fourth proportional to 708.12, 1,063.26 and 420.84 is: 631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.12 : 1,063.26 = 420.84 : x
  2. Step 2: Convert to fraction form
    708.12/1,063.26 = 420.84/x
  3. Step 3: Cross multiply
    708.12x = 1,063.26 × 420.84
  4. Step 4: Simplify right side
    708.12x = 447,462.34
  5. Step 5: Solve for x
    x = 447,462.34/708.12
  6. Step 6: Final answer
    x = 631.90

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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.