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Finding the Fourth Proportional to 663.96, 916.38 and 415.20

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Solution

The fourth proportional to 663.96, 916.38 and 415.20 is: 573.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.96 : 916.38 = 415.20 : x
  2. Step 2: Convert to fraction form
    663.96/916.38 = 415.20/x
  3. Step 3: Cross multiply
    663.96x = 916.38 × 415.20
  4. Step 4: Simplify right side
    663.96x = 380,480.98
  5. Step 5: Solve for x
    x = 380,480.98/663.96
  6. Step 6: Final answer
    x = 573.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.