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Finding the Fourth Proportional to 789.38, 1,188.34 and 710

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Solution

The fourth proportional to 789.38, 1,188.34 and 710 is: 1,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.38 : 1,188.34 = 710 : x
  2. Step 2: Convert to fraction form
    789.38/1,188.34 = 710/x
  3. Step 3: Cross multiply
    789.38x = 1,188.34 × 710
  4. Step 4: Simplify right side
    789.38x = 843,717.85
  5. Step 5: Solve for x
    x = 843,717.85/789.38
  6. Step 6: Final answer
    x = 1,068.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.