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Finding the Fourth Proportional to 663.70, 916 and 415.26

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Solution

The fourth proportional to 663.70, 916 and 415.26 is: 573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.70 : 916 = 415.26 : x
  2. Step 2: Convert to fraction form
    663.70/916 = 415.26/x
  3. Step 3: Cross multiply
    663.70x = 916 × 415.26
  4. Step 4: Simplify right side
    663.70x = 380,378.16
  5. Step 5: Solve for x
    x = 380,378.16/663.70
  6. Step 6: Final answer
    x = 573.12

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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.