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Finding the Fourth Proportional to 578.05, 795.66 and 483.75

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Solution

The fourth proportional to 578.05, 795.66 and 483.75 is: 665.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.05 : 795.66 = 483.75 : x
  2. Step 2: Convert to fraction form
    578.05/795.66 = 483.75/x
  3. Step 3: Cross multiply
    578.05x = 795.66 × 483.75
  4. Step 4: Simplify right side
    578.05x = 384,900.53
  5. Step 5: Solve for x
    x = 384,900.53/578.05
  6. Step 6: Final answer
    x = 665.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.