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Finding the Fourth Proportional to 706.86, 1,059.32 and 533.38

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Solution

The fourth proportional to 706.86, 1,059.32 and 533.38 is: 799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.86 : 1,059.32 = 533.38 : x
  2. Step 2: Convert to fraction form
    706.86/1,059.32 = 533.38/x
  3. Step 3: Cross multiply
    706.86x = 1,059.32 × 533.38
  4. Step 4: Simplify right side
    706.86x = 565,020.10
  5. Step 5: Solve for x
    x = 565,020.10/706.86
  6. Step 6: Final answer
    x = 799.34

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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.