Home / 1,287.54-1,931.96-508.10

Finding the Fourth Proportional to 1,287.54, 1,931.96 and 508.10

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Solution

The fourth proportional to 1,287.54, 1,931.96 and 508.10 is: 762.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.54 : 1,931.96 = 508.10 : x
  2. Step 2: Convert to fraction form
    1,287.54/1,931.96 = 508.10/x
  3. Step 3: Cross multiply
    1,287.54x = 1,931.96 × 508.10
  4. Step 4: Simplify right side
    1,287.54x = 981,628.88
  5. Step 5: Solve for x
    x = 981,628.88/1,287.54
  6. Step 6: Final answer
    x = 762.41

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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.