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Finding the Fourth Proportional to 564.89, 847.00 and 235.55

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Solution

The fourth proportional to 564.89, 847.00 and 235.55 is: 353.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.89 : 847.00 = 235.55 : x
  2. Step 2: Convert to fraction form
    564.89/847.00 = 235.55/x
  3. Step 3: Cross multiply
    564.89x = 847.00 × 235.55
  4. Step 4: Simplify right side
    564.89x = 199,506.03
  5. Step 5: Solve for x
    x = 199,506.03/564.89
  6. Step 6: Final answer
    x = 353.18

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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.