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Finding the Fourth Proportional to 563.86, 777.99 and 330.94

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Solution

The fourth proportional to 563.86, 777.99 and 330.94 is: 456.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.86 : 777.99 = 330.94 : x
  2. Step 2: Convert to fraction form
    563.86/777.99 = 330.94/x
  3. Step 3: Cross multiply
    563.86x = 777.99 × 330.94
  4. Step 4: Simplify right side
    563.86x = 257,468.01
  5. Step 5: Solve for x
    x = 257,468.01/563.86
  6. Step 6: Final answer
    x = 456.62

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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.