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Finding the Fourth Proportional to 792.70, 1,185.57 and 706.66

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Solution

The fourth proportional to 792.70, 1,185.57 and 706.66 is: 1,056.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.70 : 1,185.57 = 706.66 : x
  2. Step 2: Convert to fraction form
    792.70/1,185.57 = 706.66/x
  3. Step 3: Cross multiply
    792.70x = 1,185.57 × 706.66
  4. Step 4: Simplify right side
    792.70x = 837,794.90
  5. Step 5: Solve for x
    x = 837,794.90/792.70
  6. Step 6: Final answer
    x = 1,056.89

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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.