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Finding the Fourth Proportional to 564.20, 846.90 and 321.20

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Solution

The fourth proportional to 564.20, 846.90 and 321.20 is: 482.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.20 : 846.90 = 321.20 : x
  2. Step 2: Convert to fraction form
    564.20/846.90 = 321.20/x
  3. Step 3: Cross multiply
    564.20x = 846.90 × 321.20
  4. Step 4: Simplify right side
    564.20x = 272,024.28
  5. Step 5: Solve for x
    x = 272,024.28/564.20
  6. Step 6: Final answer
    x = 482.14

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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.