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Finding the Fourth Proportional to 2,045.89, 3,068.85 and 506.89

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Solution

The fourth proportional to 2,045.89, 3,068.85 and 506.89 is: 760.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.89 : 3,068.85 = 506.89 : x
  2. Step 2: Convert to fraction form
    2,045.89/3,068.85 = 506.89/x
  3. Step 3: Cross multiply
    2,045.89x = 3,068.85 × 506.89
  4. Step 4: Simplify right side
    2,045.89x = 1,555,569.38
  5. Step 5: Solve for x
    x = 1,555,569.38/2,045.89
  6. Step 6: Final answer
    x = 760.34

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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.