Home / 1,287.27-1,929.69-506.70

Finding the Fourth Proportional to 1,287.27, 1,929.69 and 506.70

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Solution

The fourth proportional to 1,287.27, 1,929.69 and 506.70 is: 759.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.27 : 1,929.69 = 506.70 : x
  2. Step 2: Convert to fraction form
    1,287.27/1,929.69 = 506.70/x
  3. Step 3: Cross multiply
    1,287.27x = 1,929.69 × 506.70
  4. Step 4: Simplify right side
    1,287.27x = 977,773.92
  5. Step 5: Solve for x
    x = 977,773.92/1,287.27
  6. Step 6: Final answer
    x = 759.57

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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.