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Finding the Fourth Proportional to 706.37, 1,059.53 and 186.35

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Solution

The fourth proportional to 706.37, 1,059.53 and 186.35 is: 279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.37 : 1,059.53 = 186.35 : x
  2. Step 2: Convert to fraction form
    706.37/1,059.53 = 186.35/x
  3. Step 3: Cross multiply
    706.37x = 1,059.53 × 186.35
  4. Step 4: Simplify right side
    706.37x = 197,437.19
  5. Step 5: Solve for x
    x = 197,437.19/706.37
  6. Step 6: Final answer
    x = 279.51

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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.