Home / 1,287.67-1,931.01-465.73

Finding the Fourth Proportional to 1,287.67, 1,931.01 and 465.73

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Solution

The fourth proportional to 1,287.67, 1,931.01 and 465.73 is: 698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.67 : 1,931.01 = 465.73 : x
  2. Step 2: Convert to fraction form
    1,287.67/1,931.01 = 465.73/x
  3. Step 3: Cross multiply
    1,287.67x = 1,931.01 × 465.73
  4. Step 4: Simplify right side
    1,287.67x = 899,329.29
  5. Step 5: Solve for x
    x = 899,329.29/1,287.67
  6. Step 6: Final answer
    x = 698.42

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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.