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Finding the Fourth Proportional to 513.48, 774.02 and 483.75

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Solution

The fourth proportional to 513.48, 774.02 and 483.75 is: 729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.48 : 774.02 = 483.75 : x
  2. Step 2: Convert to fraction form
    513.48/774.02 = 483.75/x
  3. Step 3: Cross multiply
    513.48x = 774.02 × 483.75
  4. Step 4: Simplify right side
    513.48x = 374,432.18
  5. Step 5: Solve for x
    x = 374,432.18/513.48
  6. Step 6: Final answer
    x = 729.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.