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Finding the Fourth Proportional to 1,476.79, 2,215.17 and 450.79

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Solution

The fourth proportional to 1,476.79, 2,215.17 and 450.79 is: 676.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.79 : 2,215.17 = 450.79 : x
  2. Step 2: Convert to fraction form
    1,476.79/2,215.17 = 450.79/x
  3. Step 3: Cross multiply
    1,476.79x = 2,215.17 × 450.79
  4. Step 4: Simplify right side
    1,476.79x = 998,565.41
  5. Step 5: Solve for x
    x = 998,565.41/1,476.79
  6. Step 6: Final answer
    x = 676.18

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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.