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Finding the Fourth Proportional to 420.77, 630.55 and 304.94

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Solution

The fourth proportional to 420.77, 630.55 and 304.94 is: 456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.77 : 630.55 = 304.94 : x
  2. Step 2: Convert to fraction form
    420.77/630.55 = 304.94/x
  3. Step 3: Cross multiply
    420.77x = 630.55 × 304.94
  4. Step 4: Simplify right side
    420.77x = 192,279.92
  5. Step 5: Solve for x
    x = 192,279.92/420.77
  6. Step 6: Final answer
    x = 456.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.