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Finding the Fourth Proportional to 1,287.91, 1,931.76 and 465.97

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Solution

The fourth proportional to 1,287.91, 1,931.76 and 465.97 is: 698.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.91 : 1,931.76 = 465.97 : x
  2. Step 2: Convert to fraction form
    1,287.91/1,931.76 = 465.97/x
  3. Step 3: Cross multiply
    1,287.91x = 1,931.76 × 465.97
  4. Step 4: Simplify right side
    1,287.91x = 900,142.21
  5. Step 5: Solve for x
    x = 900,142.21/1,287.91
  6. Step 6: Final answer
    x = 698.92

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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.