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Finding the Fourth Proportional to 706.12, 1,059.35 and 243.89

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Solution

The fourth proportional to 706.12, 1,059.35 and 243.89 is: 365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.12 : 1,059.35 = 243.89 : x
  2. Step 2: Convert to fraction form
    706.12/1,059.35 = 243.89/x
  3. Step 3: Cross multiply
    706.12x = 1,059.35 × 243.89
  4. Step 4: Simplify right side
    706.12x = 258,368.13
  5. Step 5: Solve for x
    x = 258,368.13/706.12
  6. Step 6: Final answer
    x = 365.90

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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.