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Finding the Fourth Proportional to 564.96, 847.08 and 304.65

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Solution

The fourth proportional to 564.96, 847.08 and 304.65 is: 456.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.96 : 847.08 = 304.65 : x
  2. Step 2: Convert to fraction form
    564.96/847.08 = 304.65/x
  3. Step 3: Cross multiply
    564.96x = 847.08 × 304.65
  4. Step 4: Simplify right side
    564.96x = 258,062.92
  5. Step 5: Solve for x
    x = 258,062.92/564.96
  6. Step 6: Final answer
    x = 456.78

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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.