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Finding the Fourth Proportional to 663.92, 916.63 and 427.99

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Solution

The fourth proportional to 663.92, 916.63 and 427.99 is: 590.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.92 : 916.63 = 427.99 : x
  2. Step 2: Convert to fraction form
    663.92/916.63 = 427.99/x
  3. Step 3: Cross multiply
    663.92x = 916.63 × 427.99
  4. Step 4: Simplify right side
    663.92x = 392,305.11
  5. Step 5: Solve for x
    x = 392,305.11/663.92
  6. Step 6: Final answer
    x = 590.89

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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.