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Finding the Fourth Proportional to 564.67, 845.45 and 482.39

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Solution

The fourth proportional to 564.67, 845.45 and 482.39 is: 722.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.67 : 845.45 = 482.39 : x
  2. Step 2: Convert to fraction form
    564.67/845.45 = 482.39/x
  3. Step 3: Cross multiply
    564.67x = 845.45 × 482.39
  4. Step 4: Simplify right side
    564.67x = 407,829.99
  5. Step 5: Solve for x
    x = 407,829.99/564.67
  6. Step 6: Final answer
    x = 722.25

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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.