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Finding the Fourth Proportional to 705.12, 1,056.31 and 396.03

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Solution

The fourth proportional to 705.12, 1,056.31 and 396.03 is: 593.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.12 : 1,056.31 = 396.03 : x
  2. Step 2: Convert to fraction form
    705.12/1,056.31 = 396.03/x
  3. Step 3: Cross multiply
    705.12x = 1,056.31 × 396.03
  4. Step 4: Simplify right side
    705.12x = 418,330.45
  5. Step 5: Solve for x
    x = 418,330.45/705.12
  6. Step 6: Final answer
    x = 593.28

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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.