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Finding the Fourth Proportional to 703.12, 969.24 and 506.56

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Solution

The fourth proportional to 703.12, 969.24 and 506.56 is: 698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.12 : 969.24 = 506.56 : x
  2. Step 2: Convert to fraction form
    703.12/969.24 = 506.56/x
  3. Step 3: Cross multiply
    703.12x = 969.24 × 506.56
  4. Step 4: Simplify right side
    703.12x = 490,978.21
  5. Step 5: Solve for x
    x = 490,978.21/703.12
  6. Step 6: Final answer
    x = 698.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.