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Finding the Fourth Proportional to 564.75, 846.36 and 383.31

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Solution

The fourth proportional to 564.75, 846.36 and 383.31 is: 574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.75 : 846.36 = 383.31 : x
  2. Step 2: Convert to fraction form
    564.75/846.36 = 383.31/x
  3. Step 3: Cross multiply
    564.75x = 846.36 × 383.31
  4. Step 4: Simplify right side
    564.75x = 324,418.25
  5. Step 5: Solve for x
    x = 324,418.25/564.75
  6. Step 6: Final answer
    x = 574.45

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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.