Home / 1,287.72-1,931.64-465.84

Finding the Fourth Proportional to 1,287.72, 1,931.64 and 465.84

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Solution

The fourth proportional to 1,287.72, 1,931.64 and 465.84 is: 698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.72 : 1,931.64 = 465.84 : x
  2. Step 2: Convert to fraction form
    1,287.72/1,931.64 = 465.84/x
  3. Step 3: Cross multiply
    1,287.72x = 1,931.64 × 465.84
  4. Step 4: Simplify right side
    1,287.72x = 899,835.18
  5. Step 5: Solve for x
    x = 899,835.18/1,287.72
  6. Step 6: Final answer
    x = 698.78

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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.