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Finding the Fourth Proportional to 578.76, 798.66 and 345.80

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Solution

The fourth proportional to 578.76, 798.66 and 345.80 is: 477.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.76 : 798.66 = 345.80 : x
  2. Step 2: Convert to fraction form
    578.76/798.66 = 345.80/x
  3. Step 3: Cross multiply
    578.76x = 798.66 × 345.80
  4. Step 4: Simplify right side
    578.76x = 276,176.63
  5. Step 5: Solve for x
    x = 276,176.63/578.76
  6. Step 6: Final answer
    x = 477.19

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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.