Home / 1,287.02-1,929.80-506.11

Finding the Fourth Proportional to 1,287.02, 1,929.80 and 506.11

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Solution

The fourth proportional to 1,287.02, 1,929.80 and 506.11 is: 758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.02 : 1,929.80 = 506.11 : x
  2. Step 2: Convert to fraction form
    1,287.02/1,929.80 = 506.11/x
  3. Step 3: Cross multiply
    1,287.02x = 1,929.80 × 506.11
  4. Step 4: Simplify right side
    1,287.02x = 976,684.29
  5. Step 5: Solve for x
    x = 976,684.29/1,287.02
  6. Step 6: Final answer
    x = 758.87

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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.