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Finding the Fourth Proportional to 1,122.88, 1,684.68 and 506.32

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Solution

The fourth proportional to 1,122.88, 1,684.68 and 506.32 is: 759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.88 : 1,684.68 = 506.32 : x
  2. Step 2: Convert to fraction form
    1,122.88/1,684.68 = 506.32/x
  3. Step 3: Cross multiply
    1,122.88x = 1,684.68 × 506.32
  4. Step 4: Simplify right side
    1,122.88x = 852,987.18
  5. Step 5: Solve for x
    x = 852,987.18/1,122.88
  6. Step 6: Final answer
    x = 759.64

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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.