Home / 1,237.20-1,854.40-506.38

Finding the Fourth Proportional to 1,237.20, 1,854.40 and 506.38

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Solution

The fourth proportional to 1,237.20, 1,854.40 and 506.38 is: 758.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.20 : 1,854.40 = 506.38 : x
  2. Step 2: Convert to fraction form
    1,237.20/1,854.40 = 506.38/x
  3. Step 3: Cross multiply
    1,237.20x = 1,854.40 × 506.38
  4. Step 4: Simplify right side
    1,237.20x = 939,019.27
  5. Step 5: Solve for x
    x = 939,019.27/1,237.20
  6. Step 6: Final answer
    x = 758.99

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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.