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Finding the Fourth Proportional to 517.48, 775.12 and 322.54

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Solution

The fourth proportional to 517.48, 775.12 and 322.54 is: 483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.48 : 775.12 = 322.54 : x
  2. Step 2: Convert to fraction form
    517.48/775.12 = 322.54/x
  3. Step 3: Cross multiply
    517.48x = 775.12 × 322.54
  4. Step 4: Simplify right side
    517.48x = 250,006.40
  5. Step 5: Solve for x
    x = 250,006.40/517.48
  6. Step 6: Final answer
    x = 483.12

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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.