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Finding the Fourth Proportional to 707.12, 1,059.72 and 398.96

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Solution

The fourth proportional to 707.12, 1,059.72 and 398.96 is: 597.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.12 : 1,059.72 = 398.96 : x
  2. Step 2: Convert to fraction form
    707.12/1,059.72 = 398.96/x
  3. Step 3: Cross multiply
    707.12x = 1,059.72 × 398.96
  4. Step 4: Simplify right side
    707.12x = 422,785.89
  5. Step 5: Solve for x
    x = 422,785.89/707.12
  6. Step 6: Final answer
    x = 597.90

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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.