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Finding the Fourth Proportional to 663.56, 916.48 and 442.14

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Solution

The fourth proportional to 663.56, 916.48 and 442.14 is: 610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.56 : 916.48 = 442.14 : x
  2. Step 2: Convert to fraction form
    663.56/916.48 = 442.14/x
  3. Step 3: Cross multiply
    663.56x = 916.48 × 442.14
  4. Step 4: Simplify right side
    663.56x = 405,212.47
  5. Step 5: Solve for x
    x = 405,212.47/663.56
  6. Step 6: Final answer
    x = 610.66

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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.