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Finding the Fourth Proportional to 706.88, 1,060.18 and 193.76

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Solution

The fourth proportional to 706.88, 1,060.18 and 193.76 is: 290.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.88 : 1,060.18 = 193.76 : x
  2. Step 2: Convert to fraction form
    706.88/1,060.18 = 193.76/x
  3. Step 3: Cross multiply
    706.88x = 1,060.18 × 193.76
  4. Step 4: Simplify right side
    706.88x = 205,420.48
  5. Step 5: Solve for x
    x = 205,420.48/706.88
  6. Step 6: Final answer
    x = 290.60

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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.