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Finding the Fourth Proportional to 663.70, 914.80 and 466.87

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Solution

The fourth proportional to 663.70, 914.80 and 466.87 is: 643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.70 : 914.80 = 466.87 : x
  2. Step 2: Convert to fraction form
    663.70/914.80 = 466.87/x
  3. Step 3: Cross multiply
    663.70x = 914.80 × 466.87
  4. Step 4: Simplify right side
    663.70x = 427,092.68
  5. Step 5: Solve for x
    x = 427,092.68/663.70
  6. Step 6: Final answer
    x = 643.50

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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.