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Finding the Fourth Proportional to 879.53, 1,213.90 and 506.45

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Solution

The fourth proportional to 879.53, 1,213.90 and 506.45 is: 698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.53 : 1,213.90 = 506.45 : x
  2. Step 2: Convert to fraction form
    879.53/1,213.90 = 506.45/x
  3. Step 3: Cross multiply
    879.53x = 1,213.90 × 506.45
  4. Step 4: Simplify right side
    879.53x = 614,772.85
  5. Step 5: Solve for x
    x = 614,772.85/879.53
  6. Step 6: Final answer
    x = 698.98

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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.