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Finding the Fourth Proportional to 1,237.95, 1,855.31 and 506.69

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Solution

The fourth proportional to 1,237.95, 1,855.31 and 506.69 is: 759.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.95 : 1,855.31 = 506.69 : x
  2. Step 2: Convert to fraction form
    1,237.95/1,855.31 = 506.69/x
  3. Step 3: Cross multiply
    1,237.95x = 1,855.31 × 506.69
  4. Step 4: Simplify right side
    1,237.95x = 940,055.21
  5. Step 5: Solve for x
    x = 940,055.21/1,237.95
  6. Step 6: Final answer
    x = 759.36

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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.