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Finding the Fourth Proportional to 706.96, 1,059.18 and 398.02

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Solution

The fourth proportional to 706.96, 1,059.18 and 398.02 is: 596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.96 : 1,059.18 = 398.02 : x
  2. Step 2: Convert to fraction form
    706.96/1,059.18 = 398.02/x
  3. Step 3: Cross multiply
    706.96x = 1,059.18 × 398.02
  4. Step 4: Simplify right side
    706.96x = 421,574.82
  5. Step 5: Solve for x
    x = 421,574.82/706.96
  6. Step 6: Final answer
    x = 596.32

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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.