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Finding the Fourth Proportional to 710.62, 1,065.84 and 190.66

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Solution

The fourth proportional to 710.62, 1,065.84 and 190.66 is: 285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.62 : 1,065.84 = 190.66 : x
  2. Step 2: Convert to fraction form
    710.62/1,065.84 = 190.66/x
  3. Step 3: Cross multiply
    710.62x = 1,065.84 × 190.66
  4. Step 4: Simplify right side
    710.62x = 203,207.73
  5. Step 5: Solve for x
    x = 203,207.73/710.62
  6. Step 6: Final answer
    x = 285.96

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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.