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Finding the Fourth Proportional to 2,045.55, 3,068.28 and 506.55

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Solution

The fourth proportional to 2,045.55, 3,068.28 and 506.55 is: 759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.55 : 3,068.28 = 506.55 : x
  2. Step 2: Convert to fraction form
    2,045.55/3,068.28 = 506.55/x
  3. Step 3: Cross multiply
    2,045.55x = 3,068.28 × 506.55
  4. Step 4: Simplify right side
    2,045.55x = 1,554,237.23
  5. Step 5: Solve for x
    x = 1,554,237.23/2,045.55
  6. Step 6: Final answer
    x = 759.81

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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.