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Finding the Fourth Proportional to 564.85, 847.58 and 563.13

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Solution

The fourth proportional to 564.85, 847.58 and 563.13 is: 845.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.85 : 847.58 = 563.13 : x
  2. Step 2: Convert to fraction form
    564.85/847.58 = 563.13/x
  3. Step 3: Cross multiply
    564.85x = 847.58 × 563.13
  4. Step 4: Simplify right side
    564.85x = 477,297.73
  5. Step 5: Solve for x
    x = 477,297.73/564.85
  6. Step 6: Final answer
    x = 845.00

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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.