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Finding the Fourth Proportional to 520.04, 779.46 and 245.96

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Solution

The fourth proportional to 520.04, 779.46 and 245.96 is: 368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.04 : 779.46 = 245.96 : x
  2. Step 2: Convert to fraction form
    520.04/779.46 = 245.96/x
  3. Step 3: Cross multiply
    520.04x = 779.46 × 245.96
  4. Step 4: Simplify right side
    520.04x = 191,715.98
  5. Step 5: Solve for x
    x = 191,715.98/520.04
  6. Step 6: Final answer
    x = 368.66

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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.