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Finding the Fourth Proportional to 578.67, 798.48 and 345.75

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Solution

The fourth proportional to 578.67, 798.48 and 345.75 is: 477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.67 : 798.48 = 345.75 : x
  2. Step 2: Convert to fraction form
    578.67/798.48 = 345.75/x
  3. Step 3: Cross multiply
    578.67x = 798.48 × 345.75
  4. Step 4: Simplify right side
    578.67x = 276,074.46
  5. Step 5: Solve for x
    x = 276,074.46/578.67
  6. Step 6: Final answer
    x = 477.08

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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.