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Finding the Fourth Proportional to 712.96, 1,069.84 and 388.35

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Solution

The fourth proportional to 712.96, 1,069.84 and 388.35 is: 582.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.96 : 1,069.84 = 388.35 : x
  2. Step 2: Convert to fraction form
    712.96/1,069.84 = 388.35/x
  3. Step 3: Cross multiply
    712.96x = 1,069.84 × 388.35
  4. Step 4: Simplify right side
    712.96x = 415,472.36
  5. Step 5: Solve for x
    x = 415,472.36/712.96
  6. Step 6: Final answer
    x = 582.74

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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.