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Finding the Fourth Proportional to 706.75, 1,060.19 and 193.75

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Solution

The fourth proportional to 706.75, 1,060.19 and 193.75 is: 290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.75 : 1,060.19 = 193.75 : x
  2. Step 2: Convert to fraction form
    706.75/1,060.19 = 193.75/x
  3. Step 3: Cross multiply
    706.75x = 1,060.19 × 193.75
  4. Step 4: Simplify right side
    706.75x = 205,411.81
  5. Step 5: Solve for x
    x = 205,411.81/706.75
  6. Step 6: Final answer
    x = 290.64

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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.